プレプリどんどん: math.RT

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W代数と超代数とフラグ多様体の構造 - 2026/11/11の論文20本

Nov 11, 2026 34 min

arXiv math.RTの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-11-11/ Addendum and Corrigendum to: Some homological properties of category $\mathcal{O}$, VGeometric Hammocks: Surface Laminations and the Ziegler Spectrum of String AlgebrasRepresentations of the Loop mirror BMS-Kac-Moody algebraA decomposition theorem for minimal W-algebras of type AG-radical-square-zero algebrasDifferential Monodromy, $q$-Opers, and Universal $(G,q)$-WronskiansRegular loci of affine Springer fibers at very special parahoric levelFinite Numerical Joyce Transport and Derived Hall Scattering GroupoidE-symmetric algebras IIOn the strong Dixmier-Moeglin equivalence for the quantum semisimple groupsHigh degree covers and genericityGorenstein dimensions for stable Auslander algebras of Nakayama algebrasParabolic induction and pullback of perverse sheaves on Vogan varietiesWhittaker supermodules for the Takiff superalgebra \mathfrak{osp}(1|2)Parabolic semiinfinite sheaves on affine flag varietiesMultivariate diagonal harmonics: character polynomials and proofs of two conjectures of BergeronKoszul duality and determinant formulas for affine hyperplane arrangementsCluster-theoretic Newton--Okounkov polytopes of flag varieties of types $A_4$ and $B_2$Quantum Langlands correspondence for Painlev\'e IILocal Rigidity of Bergman Logarithmic Flatness on Compact Hermitian Symmetric Spaces

表現論と圏論とトレース公式 - 2026/11/10の論文29本

Nov 10, 2026 51 min

arXiv math.RTの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-11-10/ Irreducible Representations as Local Maxima of a Matrix-Coefficient FunctionalRestrictions to a principal $A_1$-subgroupAn explicit basis for the unipotent Specht modules of $\mathrm{GL}_n(\mathbb{F}_q)$A silting theorem for extended module categoriesEaton Triples, Polar Representations, and Lie Triple SystemsThe Fourier kernel and invariant trace formula of $\rm{GL}(3)$Inhomogeneous deformations of $\mathfrak{osp}(N|2n)$: triviality for any number of odd parametersFinite groups with consistent subgroup latticesSections of the Kottwitz homomorphism and affine pinningsDlab--Ringel standardization in algebraic triangulated categoriesRepresentations of the Weyl algebra modulo $p^2$Presentations of inverse Artin monoids of type $D_n$ via cluster mutationsInvariant operations on vector fields on the line are Lie polynomialsFrom Frobenius seeds to self-orthogonal modules over symmetric algebrasGlobal-dimension spectra of gentle algebrasClassification of quasi-lisse simple affine vertex algebrasOn $\mathrm{HH}^1$ of blocks of finite simple group algebrasMotivic generating functions and $L$-derivatives of cohomological automorphic representationsOn naturality of cohomological support for small quantum groupsCan small transformers learn the language of Coxeter groups?On sinks and mirrorsThe cohomology of finite simple groups is unboundedFrobenius and ozone automorphism groups of root of unity quantum cluster algebrasThe finite projective classification of complex spinors via momentum mapsOn the Cohomological Amplitude of the Locally Analytic Jacquet--Langlands FunctorCounter-examples to Conjectures on NCCRs via a Reductive McKay CorrespondenceA relative trace formula for the orthogonal Gan-Gross-Prasad model and the proof of its fundamental lemmaFunctorial Homological Mirror Symmetry for Acyclic Cluster VarietiesFRT presentation of the $q$-Onsager comod...

分割例外群とクラスターとテンソル値 - 2026/11/9の論文8本

Nov 9, 2026 14 min

arXiv math.RTの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-11-09/ Long-root $\SL_2$ dual pairs in split exceptional groups: Compact types, cone geometry, and theta correspondencePlus Constructions and Canonical Induction for Green CategoriesAnnular webs and Guralnick's conjecture$\mathrm{X}$-evolution flows/foliations for cluster algebras: partial Bongartz (co-)completions and acyclicitySupercuspidal and elliptic densities for reductive groups over non-archimedean local fieldsCentres and semisimple deformations of contraction algebrasTensor value and the 9/4 bound for matrix multiplicationDivision ring extensions and a counterexample to the pure semisimplicity conjecture

シンギュラリティと超代数とヤンギアン - 2026/11/6の論文10本

Nov 6, 2026 17 min

arXiv math.RTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-11-06/ Classification of real Lie algebras of dimension fiveHigher theta lifts via BGG resolutionsCells, cacti, and the asymptotic algebraArithmetic Kac Theory for Ramified SpeciesWeb bases for the Lie superalgebra $\mathfrak{gl}(1|1)$On minimal singular vectors of $V^\kappa(\mathfrak{g})$ for types $B$ and $C$Tilting bundles and modifying modules in relative dimension oneSymplectic singularities in Relative Langlands duality for products of general linear groupsClifford BMW Categories and Conformal Embeddings of Types B C and DTwisted Yangians of quasi-split type DI and Drinfeld type current relations

量子代数とp進表現と幾何学構造 - 2026/11/5の論文15本

Nov 5, 2026 25 min

arXiv math.RTの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-11-05/ The Zelevinsky involution, co-standard modules for quantum affine algebras and interval symmetric functionsLusztig sheaves, local systems, and the extended Springer resolutionRoot vector localization and minimal nilpotent finite $W$-algebrasStable equivalence of quadratic monomial algebrasNon-admissible smooth irreducible representations of $\mathrm{GL}_2(F)$ for totally ramified extensions $F/\mathbb{Q}_p$Representation embeddings and the third Brauer--Thrall conjectureArthur packets for $\mathrm{G}_2$ over $p$-adic fieldsQuantum error correcting codes from quiver moduli: Grassmannians, cyclic monodromy, and argyle collision divisorsOn the existence of nonadmissible irreducible smooth representations of $p$-adic $\mathrm{GL}_n$Equivariant elliptic cohomology via loop spacesHolomorphic flexibility properties of strongly commuting varietiesFrom the quantum group $U_{q^{1/2}}( {\widehat {\mathfrak{sl}}}_2 )$ to the Kronecker quantum cluster algebraIdentities of Representation of Lie subalgebras of the first Weyl algebraHigh-Degree Restricted Cohomology for $K(3;1)^{(1)}$ in Characteristics Five and SevenHessenberg character

構造的性質と代数と表現の探求 - 2026/11/4の論文19本

Nov 4, 2026 33 min

arXiv math.RTの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-11-04/ On silting theory for complete path algebrasCompatible gradings on dg models and cluster equivalenceRamified tori and Gelfand--Kirillov dimension of mod $p$ representationsOn the Irreducibility of Locally Analytic Vectors in Certain Banach Representations of $D^\times$The Extension groups of one $\rm K$-type representations of graded Hecke algebraEffective results in representation theory of reductive groups over local fieldsRelative Tate-Shafarevich kernel of a reductive group over a global fieldDerived Ringel duality through finite subquotients of modular category $\mathcal O$On Douglas' conjecture for $m$-Kronecker quiversNormality of marginal inverse subsemigroups in inverse semigroupsDecompositions of homomorphisms of abelian $p$-groups with $p^2$-bounded targetBase change between canonical basis and path basisHochschild cohomology of Temperley--Lieb algebras: a Kauffman diagram perspectiveGalois-modular obstructions to the categorification of near-group fusion ringsA Relative Telescope-Type Conjecture: Support and Generation in Half-Bounded Derived CategoriesOn the Haagerup Vertex Operator AlgebrasHecke Relations from Self-Duality$K$-theory of finite monoid setsAlperin weight bijections and dimensions of simple modules

群の構造と特殊代数 - 2026/11/3の論文33本

Nov 3, 2026 56 min

arXiv math.RTの新着論文33本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-11-03/ Distortion of Random Max Filters over Reflection GroupsSpherical Schubert varieties in $GL_n / P$A proof of the Zariski closure conjecture and quasi-Frobenius exponential algebrasRelative Rouquier linearity and inverse hybrid Kazhdan-Lusztig positivity$AV$-modules on affine algebraic groupsAuslander-type grade conditions and subcategories related to syzygy modulesThe inductive Navarro-Alperin weight condition for the Suzuki and Ree groupsSiegel-Weil type identities for general linear groups related to parabolic induction from two Speh representationsRaFH and CRaFH superalgebras: Frobenius forms, representation theory and respectabilityPlanar Convexity of Isotropy Orbits via Cohomology and Common ZerosMultiplicity one for a linear spherical pair and its unitary analogueGeneralized parabolic Demazure modules and the N!/2-conjecture for two-row diagramsClosed energy formulas on tensor squares of perfect crystals of types $D_4^{(3)}$ and $G_2^{(1)}$Representations of Bound Quivers over $\mathbb{F}_1$ and Hall AlgebrasHammock coordinates for silting subcategories of derived-discrete algebrasGeometrization of Kottwitz-Shelstad transfer and Vogan's conjecture on local Arthur packetsCuspidal sheaves on the stack of L-parametersCategorifications of noncrossing partitions of type B and affine type AThe Yangian associated with the binary treeWhittaker modules for the principal $W$-algebra $\mathcal W^k(\mathfrak{sl}_3)$ via free field realizationsThe most singular loci of twisted character varietiesIdempotent Ultrafilters and Closed Images of Complete SemilatticesA faithful representation and profinite completionA proof of the sharpness conjectures for all saturated fusion systemsProbing automorphic induction through zero correlations and secondary arithmetic termsFunctoriality probes over number fields by mixed zero correlationsKoszul duality for boundar...

表現の構造と幾何学的代数 - 2026/11/2の論文24本

Nov 2, 2026 42 min

arXiv math.RTの新着論文24本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-11-02/ Smith Algebra from $\mathfrak{sl}_2$ Tensor Product Branching via the Mickelsson-Zhelobenko AlgebraComposition factor algebras and finite representation typePush forwards of smooth measures on the unitary group in odd characteristic under the Chevalley map are almost boundedExchange graphs and $g$-vectors of surface rigid algebrasA note on rational wavefront sets for finite special orthogonal groupsOn unitary representations of $p$-adic $\textrm{Sp}_{2n}$ and $\textrm{SO}_{2n+1}$ of purely bad parityDerived tame monomial algebrasOn the generic case of Jiang's conjectureDecomposing super unitary representations using Berezin integrationAlcove walks, crystal structure and a Levi branching ruleRelative homological algebra of filter modulesOn Boundary State Screening via SolitonsTruncated Grassmannians: polytopes, representations, and Cauchy formulasNonlinear Maps Between Irreducible Representations in Graph Neural NetworksInitial Subcategories via Free Presentations of the Constant FunctorChanging parameters in Hall-Littlewood functionsOdd-Degree Rigidity and a Numerical Characterization of Complete Flag VarietiesKloosterman Sums and Pl\"ucker Height Zeta FunctionsEquivariant Ehrhart series for rational simplices and rational cross-polytopesHaiman's conjecture for n Quasi-projective dimensions over homological ring epimorphismsHolomorphic functions and hulls of Matsuki-dual orbits of $SU(p,q)$ in complex GrassmanniansSpectral Beurling-Selberg Approximation and Applications to Effective Motivic Chebotarev-Sato-Tate EstimatesGrassmannians of absolute Banach-Colmez Spaces

代数構造と幾何学的解析 - 2026/10/30の論文33本

Oct 30, 2026 1 hr 7 min

arXiv math.RTの新着論文33本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-30/ Cohomological change of coefficients for noncocommutative Hopf algebrasLie (super)algebras generated by reflections in finite reflection groups of exceptional typeDiagrams for Roots and Quiver Representations in the context of the Gabriel-Kac TheoremArchimedean Asai Zeta Integrals and Cohomological Test VectorsA finiteness result for split exceptional dual pairsAn analogue of $\Gamma$-function for irreducible cuspidal representations of the group $\mathrm{GL}(2)$ over a two-dimensional local fieldTensor products of 2-representationsComposition factors and finite representation typeThe bigraded Frobenius series of the wreath product superspace coinvariant ringsThe Categorical Fargues-Scholze Correspondence at Generic ParametersPositivity of the Mirabolic Quantum GroupsComparing metric completions of triangulated categories with Verdier quotientsAffinizations and braided module categoriesFinite-dimensional irreducible representations of YangiansSyzygy-Quiver Formulas and Finitistic Dimensions of Special Biserial AlgebrasStandardly stratified structures from tilting modulesParahoric Spherical Whittaker FunctionsHarmonic Analysis on $p$-adic Unipotent GroupsInduced representations from the Heisenberg parabolic subgroup of $SL(n+2,\mathbb{R})$Permutation twisted cohomology, reduced and immersedPartial Airy ideals and coloured blobbed topological recursionNijenhuis Lie $n$-algebrasProjected Brion's theoremAnalysis of blowup masses in constant-coefficient Toda systems: W-invariants and Weyl orbitsPBW theorem for affine super YangianHook monomial immanants are Kazhdan-Lusztig positiveBases for the Top-Degree Garsia-Haiman ModuleGray $\mathcal{A}$-metrics on nilpotent Lie groups and the quasicentroid conditionQuasimodularity of $q$-series associated to root latticesQuantum cluster structures on bosonic extensionsOn stable twist 2-groups of quasi-Hopf al...

量子二重性と代数構造 - 2026/10/28の論文21本

Oct 28, 2026 44 min

arXiv math.RTの新着論文21本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-28/ Combinatorial description of the mirabolic quantum Schur-Weyl dualityDelooping levels on Morita context algebrasMultiplicity One for Unitary Ginzburg--Rallis Models over Local FieldsYoung's lattice, invariant ideals, and weak identitiesHighest weight vectors in queer Howe dualityCompact generation and perfect objects in homotopy categories of exact model structuresFrom amplituhedra to flagtopesRelative derived delooping levels and torsion intervalsRepresentations of shifted quantum affine algebras and cluster algebras II: Non simply-laced types and cluster expansionsA nilpotent version of the first Kac conjectureNon-split groups of Lie type and iSchur algebras with unequal parametersFinite group actions on the non-minimal nilpotent orbit closures in type ARank reduction in orthosymplectic typesIwahori Whittaker functions for unramified quasi-split groupsClassification of vanishing fusion rings of rank fourDuflo--Serganova functor for chiral differential operators on classical invariant ringsMutation-acyclicity in rank four is decidable but not semialgebraicGross--Prasad conjecture in geometric LanglandsIntegral Forms of Twisted Quantum Affine Algebras and Quantum FrobeniusBethe Cycles, Frobenius Identities, and Quantum/Classical DualityRepresentation and abelianization growth, particularly along expanding sequences

表現構造と幾何的分類の体系 - 2026/10/27の論文32本

Oct 27, 2026 1 hr 4 min

arXiv math.RTの新着論文32本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-27/ Non-Induced Representations in Characteristic ZeroStability of certain elements in the Bernstein centerParabolic filtrations of Soergel bimodulesRepresentation type of contraction algebrasRelative delooping levels on intervals of torsion classesOn the elliptic Hall categoryA nonstandard selfinjective algebra of Euclidean typeA geometric construction of supercuspidal representationsLifting $\tau$-exceptional sequencesStability functions inducing stability dataResolution quivers and the QF-1 property of higher Auslander Nakayama algebrasExponentially large mu-coefficientsOn characters of irreducible modules for Lie superalgebra q(n)Convex orders in root systems and quantum tangent spacesThe modular characters of $\text{Sp}_{10}(2)$Structural taxonomy and complex irreducible representations of non-abelian groups of order p^4Unique direct-sum decompositions of infinite-dimensional unitary representations of the infinite dihedral group via real CMV matricesGeometry of holonomic modules over the first Weyl algebraOn Tam's star-shapedness conjecture for numerical ranges of compact adjoint orbitsNumber of left cells in the second lowest two-sided cellRational limit of Rains integrals of type $A_n$One ring to rule them all: syzygy maximization for Argyres-DouglasElmendorf's Theorem for $\infty$-categoriesCounterexamples to congruences in finite p-groupsOn Reed-Muller-Type Codes Associated to Proto-Exact CategoriesMatrix representations of ${\rm BC}_n$ associative Yang--Baxter equations and related long-range spin chainsAutomatic cocommutativity for the quantum-group comonadOn derived equivalences of exact structures on the category of representations $k[x]/(x^n)$Spectra, Growth, and Localization in Half-Bounded Tensor Triangular GeometryFaithful Localization of Vertex Algebra ModulesA cohomology operation encoding the octahedral axiomSymplectic singular...

量子群と結晶とトダシステム - 2026/10/26の論文16本

Oct 26, 2026 31 min

arXiv math.RTの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-26/ Tilting theory on continuous quivers (I) maximal rigid and tilting subcategoriesRelative Langlands duality for linear periodsImaginary elements and crystals for quantum groupsOptimality of finite field dimension expandersQuivers with Involutions and Shifted affine $\mathrm{i}$Quantum groups via Coulomb BranchesSchur--Weyl duality for coideal subalgebras of quantum affine superalgebras of type $A$Affine and cyclotomic Brauer categorification via $\imath$-Kac--Moody $2$-categories: the integral type $\operatorname{AIII}$ caseThe Lie algebra structure of $\mathrm{HH}^1(B)$ for blocks with a normal defect groupRealizable Cohomology Classes of Dihedral and Generalized Quaternion GroupsThe totally nonnegative wonderful compactification of G is a ballKashiwara's Lemma for Potent D-modulesSingular Loci of SL2(C)-Representation Varieties of Torus Knot GroupsContributions to the Stable Derived Categories of Gorenstein RingsSpin Toda systems and N-point spherical Whittaker functionsCofinite integral braces and crystallographic groupsDeformations of cohomology classes and spectral sequences

3-fold flopsと代数構造の分類 - 2026/10/23の論文10本

Oct 23, 2026 21 min

arXiv math.RTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-23/ $\SL_3$ dual pairsRigid and $\tau$-locally free modules via Taft algebrasExact Archimedean Flicker--Rallis Periods on Cohomological Minimal $K$-TypesLanglands-Shahidi gamma factors and local transfer in familiesPlabic promotions beyond cluster: quantum cluster structures and the dual canonical basisOn Borodin-Gorin presentation of Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric functionDrinfeld presentation of affine iquantum groups via iHopf algebrasWeyl chambers, asymptotic expansions, and blowup analysis of explicit Toda solutionsThe classification of smooth 3-fold flopsThe taming of 3-fold flops

表現論と幾何学的構造 - 2026/10/22の論文16本

Oct 22, 2026 31 min

arXiv math.RTの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-22/ Ramified convolution and monodromy bases for symmetrizable Kac--Moody algebrasFrobenius forms and semisimplicity of cyclotomic quiver Hecke superalgebrasEnhanced Langlands Parameters of Regular Principal SeriesRevisiting the infinite Galois correspondence via group representationsLocal Gan-Gross-Prasad conjecture for unitary groups: Trace formula approach for epsilon dichotomyHomological branching laws for $p$-adic and mod $p$ representations of ${\rm GL}_2$ over a $p$-adic fieldRestriction of $p'$-degree characters, fields of values, and relative normal complementsOn Lusztig Sheaves for Tame QuiversOn unitary vertex operator algebrasMackey formulas for smooth stacksCharacters and Polynomiality for Maximal Parabolic Unipotent Radicals in Finite Classical GroupsReflection functors for non-simply-laced quiver varietiesClosedness of bounded strength and partition rank lociNo braiding for quantum sl2 reps - A short proofLax descent and foliated Verdier dualityMultiplying matrices via polynomials: exposition and barriers

超代数とヘッセンバーグ多様体と周期 - 2026/10/21の論文12本

Oct 21, 2026 25 min

arXiv math.RTの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-21/ Uniqueness of twisted linear periodsApproximability of Triangulated Categories under Separable ExtensionsGeneric distinction of induced representations: the case of symmetric spacesLie algebras in symmetric tensor categoriesSupercuspidal blocks and the local Langlands correspondenceElements of the Green ring related to Alperin's weight conjectureOscillator representations of quantum affine orthosymplectic superalgebras II2-representation theory of the Taft algebraHarder-Narasimhan Filtrations of Hyperquiver RepresentationsReal Nullstellensatz for nilpotent Lie algebrasDivisors on regular Hessenberg varieties for h=(2,3,4,...,n,n) associated to lower subsetsSpherical harmonics and infinitesimal projective transformations

量子群とHecke代数とリー超代数 - 2026/10/20の論文32本

Oct 20, 2026 53 min

arXiv math.RTの新着論文32本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-20/ The Casimir on the $K$-fixed tensor square of the minimal representation of $G_{2(2)}$Local Converse Theorems for $k$-Middle Supercuspidal Representations of $p$-adic $\text{GL}(kn)$The center conjecture for cyclotomic Hecke algebras and cohomology of quiver varietiesNon-canonical Oscillator Representations of Orthogonal Lie Algebras and Pfaffian VarietiesGeneralized symmetric pairs, Lie superalgebras, Dirac operators and Kostant constantsCellular bases of mirabolic Hecke algebrasThe associated graded algebras of biserial fractional Brauer graph algebrasDerived equivalence classification of twisted and generalized multifold extensions of affine typeShifted quantum affine symmetric pairs: finite presentations and graded coideal structuresQuantum symmetric spaces at roots of 1Cohomology and Representation Theory for Lie SuperalgebrasLusztig's asymptotic algebra and a cell factorisation for the second lowest two-sided cell in type $\tilde{B}_n$Brauer and iquantum categorificationTwisted logarithmic de Rham complexes and the rational hit conjectureCounting Irreducible Components of the Semistable Global Nilpotent ConeDecomposing the Action of Macdonald Operators for Classical TypesSocle formulas for rigid irreducible components of Lusztig's nilpotent varieties in type $A$Ramanujan Conjecture and Riemann Hypothesis for the unitary groups over function fieldsStrong $\mathfrak{sl}_2$ Actions and Symmetric Chain DecompositionsStevens' Approach to Kloosterman Sums on Split GroupsThe big cactus group, invariant tensors, and rectangular tableauxOn the classification of threefold flopsClassification of twisted Yangians as coideal subalgebras of YangiansThe 3-adic Steinberg block and a categorical 3-adic local Langlands correspondence for $\text{GL}_2(\mathbb{Q}_3)$Super Howe duality and rigidity of hybrid Fourier transformsPrekosmic Grothendieck/Galois Cat...

超群とHecke代数と量子理論 - 2026/10/19の論文9本

Oct 19, 2026 20 min

arXiv math.RTの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-19/ String functions and cyclotomic Hecke algebrasTypical representations of admissible type I algebraic supergroupsWhittaker Functionals for Exceptional RepresentationsTrilinear Forms for ${\rm GL}_2(\mathbb{F}_q)$ via conjugacy classesPlancherel Decompositions and Distinctions for $\mathrm{Sp}_{2n}\backslash \mathrm{Gl}_{2n+1}$ and $P(\mathrm{Sp}_{2n})\backslash \mathrm{Gl}_{2n}$The Schubert bialgebraClassification of real Lie algebras of dimension one, two and threePhases in the cyclic quantum dilogarithm: correction to "Cyclic quantum Teichm\"uller theory"Locally Gorenstein algebras, a generalization of Gorenstein algebras

集団代数とポジトロイドと導来圏 - 2026/10/16の論文17本

Oct 16, 2026 36 min

arXiv math.RTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-16/ Quantized integral models of reductive monoidsContinuous representations of the meta Hahn algebra and special functionsA Krause-type recollement for Q-shaped derived categoriesA Proof of the Jung-Kim Conjecture on the Centers of Walled Brauer AlgebrasGeneralized Cluster Algebra Homomorphisms Induced by Cluster Tube EmbeddingsModules and operator rings of Reynolds algebrasWeight structures and t-structures on the triangulated category generated by a $\mathbb{P}$-objectDouble affine Frobenius Hecke algebrasDouble covers of tori for p=2 and genuine functionsRectangular Symmetry for Catalan FunctionsA family of algebras that connects positroids, the Theta conjecture, the Delta conjecture, and Eulerian quasisymmetric functionsA variation on local trilinear formOn a conjecture of King-Tollu-Toumazet for rectangular Kostka coefficientsMultivariate $P$- and $Q$-polynomial structures of generalized Johnson association schemesGluing weak approximability along recollementsSeries of Fano quiver moduli from extended Dynkin quiversAn infinite completely normal basis theorem

グラフと代数とヤング図とTheta作用素 - 2026/10/15の論文11本

Oct 15, 2026 22 min

arXiv math.RTの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-15/ Index for a mutation loopSymplectic extension graphs and Ribet's lemmaUniqueness of twisted linear periods over Archimedean division algebrasGaudin from CherednikUniversally extendible charactersReductions of Galois representations of slope $2$Bicolored Eulerian quasisymmetric functions, affine lengths, and Theta operatorsPrefixes of Coxeter elements are Coxeter elements of the reflection subgroups they generateOn the Fomin-Kirillov algebrasDegeneracy graph determinants and higher-dimensional Young diagramsArithmetic Siegel--Weil formula on the product of modular curves

表現と対称空間と非アーキメデアン - 2026/10/14の論文48本

Oct 14, 2026 1 hr 35 min

arXiv math.RTの新着論文48本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-14/ Minimal presentations of finite-dimensional representations of pseudocompact algebrasAutomorphisms of medium algebras and quasi-anisotropic real affine GrassmanniansMultiplicity One for Five Strongly Tempered Spherical VarietiesThe algebraic theory of non-archimedean intertwining periodsA subcategory with remarkable homological properties via actions of tensor categoriesCellular Algebra of $A_2$ websOkubo algebras and Exceptional Periodicity: tetracode gradings, root-lattice obstructions and Clifford conesRiver ribbon tableaux and symmetric group charactersThe equivariant Ehrhart theory of polytopes with order-two symmetries: Part IIBeyond the circle: current algebras, geometry and higher gauge structuresQuandles with isomorphic representation categoriesDimensions and maximal-dimensional components of higher commuting varieties of symmetric pairsOn quasi-lisse affine vertex algebras $L_{-1-h/6}(\mathfrak{g})$ from rank-one Argyres-Douglas theoriesSquare integrable representations and Hecke eigenvalues over a local non-archimedian field$E$-symmetric algebras IMicrolocal Arthur packets as a quasi-canonical basis of stable distributionsThe modulo distinction problem for D*Depth-zero local Langlands via shtukas in mixed characteristicIdeal quotients of $n$-exact categoriesDouble Bruhat cells in symmetric spacesRegularity of Totally Nonnegative Wonderful CompactificationRepresentation Type and Schurian Finiteness of T**s AlgebrasLinear Laurent phenomenon algebras are of finite typeA Gordon--Green-type result for Gorenstein-projective modulesThe Quantum Character TransformSpectra and Support Theory for Wide Subcategories in $n$-Abelian CategoriesFinite Root Sums in Symmetrizable Kac-Moody AlgebrasFinite Length of Locally Analytic Vectors for $\mathrm{GL}_2(F)$ and $D_F^\times$Parabolically induced representations of $GL_n(O_l)$On a derived equivalenc...

量子群と決定論的モジュールとスペクトル表現 - 2026/10/12の論文11本

Oct 12, 2026 23 min

arXiv math.RTの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-12/ Generating Sets for the Kernels of Frobenius Polarization OperatorsLusztig Parameters and Factorizations of Determinantial ModulesHigher mod $p$ Satake transforms: explicit formulas and images for $\mathrm{GL}_2$Global obstruction property and its applicationsHook algebras and determinantal varietiesEquivariant Steklov homogenisation and stability of spectral representationsHaar measure for totally positive split real semisimple quantum groups of classical typeHarmonic analysis and circuit approximation of Sobolev functions on quantum input spacesActions of Fell bundles, II: tensor products and Fourier-Stieltjes algebrasA 9-dimensional nilpotent Lie algebra isomorphic to its complex conjugate admitting no real formOn the saturability of $p$-adic Lie groups

クィバーとHecke代数と非可換幾何と群論 - 2026/10/9の論文12本

Oct 9, 2026 23 min

arXiv math.RTの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-09/ Quantum super Schur--Weyl duality and character formulas for mirabolic Hecke algebrasReciprocity for projective and injective direct summandsCategorified Cluster Structures on Coulomb Branches of Certain Star-Shaped QuiversSharp commutator bounds on complex simple Lie algebras: the B\"ottcher--Wenzel inequality and the comass of the Cartan $3$-formTwisted Jacquet modules and induction from Speh representationsInfinite girth and profinite properties of residually finite groupsA Counterexample to Left-Right Symmetry for Diagonal Auslander-RegularityInjectivity of specialization maps in critical cohomologyEquivariant noncommutative crepant resolutions and $G$-maximal modifying modulesFacets of nondegeneracy: central type factor groups, Heisenberg representations and Hadamard matricesSlightly improved zero-free half-planes for the quasi-Riemann hypothesisLocal Constancy of the Betti Automorphic Category over the Moduli of Curves

クラスターとモジュールと軌道 - 2026/10/8の論文6本

Oct 8, 2026 11 min

arXiv math.RTの新着論文6本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-08/ Log-concavity and unimodality of cluster monomials in fan coordinates of type $A_n$Derived Picard reconstruction for graded surfaces with stopsOn the Structure of Higher Zhu Induced Modules in Positive CharacteristicRamified Quivers with Potentials, Monodromy Characters, and Cluster Bases IAbelian composition factors of finite rational groupsCR Orbits on the complex flag manifolds of $G_2$

表現論と代数構造の展開 - 2026/10/7の論文17本

Oct 7, 2026 35 min

arXiv math.RTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-07/ On fusion product and N!/k-conjectureBlock decompositions in the p-adic Langlands correspondenceStability of plethysm coefficients and modified polynomial inductionWebs and finite dimensional Representation theory for quantum symmetric pairsTruncation of dg categories and connective resolutionsIwahori Gaiotto conjecture for cotangent typeQuiver Demazure algebras I: Residue descent, finite quotients, and PBW basesRoot-power quotients of nil-Hecke algebras and Weyl invariant theoryThe solvable degree of a Schur algebraAraki Cohomology of the de Sitter Scalar Discrete SeriesPosh Parking SpacesOn the number of cokernel-closed additive subcategories for uniformly oriented $A_n$ quiversA new $SL_2$-action on the rank-two $\beta\gamma$-systemExtensions of Restricted Simple Modules for Restricted Lie Algebras of Cartan TypeSegre determinants and MHV gravity amplitudesCharacter expansions and affine Jacobi-Trudi identitiesLocal newforms, Pa\v{s}k\={u}nas-Stevens Whittaker functions, and explicit test vectors for $\mathrm{GL}(n)\times \mathrm{GL}(n)$

テンソルカテゴリとKac-Moodyと幾何学 - 2026/10/6の論文20本

Oct 6, 2026 37 min

arXiv math.RTの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-06/ The Benson--Etingof--Ostrik conjecture for finite tensor categoriesChromatic characters and root multiplicities for Borcherds--Kac--Moody algebrasOn the $K$-types of certain families of unitary highest weight representations of Hermitian Lie groupsCombinatorics of Mirkovi\'c-Vilonen cycles in twisted affine Grassmannianssimple cartan-free modules of finite rank over the super-virasoro algebrasCharacters of $F_4(\mathbb{C})$ at involutionsA quiver presentation of the type D arc algebras and intrinsic formality of $\mathbb{D}_4$Calculating double-leaf coefficients in the Hecke categoryTempered Symplectic Distinction For Quaternionic $GL_n(D)$: A Conjecture of PRASADTao-Travkin equivalence revisitedClassification of reductive monoidsIrreducibility of Verma modules for symmetrizable Kac-Moody superalgebrasA Morris recursion rule for values of the spin characters of wreath productsThe Brou\'e invariant of a Morita equivalence with an endopermutation sourceFinite-dimensional Lie subalgebras of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{C})$Moments and Large Geometric Monodromy for Linearly Constrained Kloosterman FamiliesRestrictions of the dot action representationThe commuting scheme of $\mathfrak{g}_2$Automorphic commutator relations in relative geometric LanglandsBraid group invariance of quantum tori and applications

超代数と表現論と量子的な不確定性 - 2026/10/5の論文8本

Oct 5, 2026 16 min

arXiv math.RTの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-05/ Parabolic induction for Takiff algebras and character formulas in Chari's category $\widetilde{\mathcal{O}}$Maximal graded subalgebras of simple vectorial Lie superalgebras with polynomial coefficientsMaximal subalgebras in the three exceptional simple finite-dimensional Lie superalgebrasUniform Computability of Isotypic Block Diagonalization for Finite-Group RepresentationsEquivariant Poincar\'e polynomial of type B Wonderful ModelsAmple stability implies rigidity for quiver moduliRobustness of quantum spectrum estimation: weak Schur sampling under noisy inputsLie Algebraic Uncertainty Relations

フラグ多様体と代数と融合環 - 2026/10/2の論文17本

Oct 2, 2026 36 min

arXiv math.RTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-02/ Self-Orthogonal $\tau$-Tilting Modules and Tilting Modules III: Finitistic DimensionA characterization of triangulated structures induced by premutation triplesExplicit Transgression Primitives on Flag ManifoldsMagnitude of module categories and special biserial algebrasBig Finitistic Dimensions of Radical-Cube-Zero AlgebrasEndomorphism algebras of Gorenstein-projective modules over string algebrasHomology and higher-order intermediate categories for proper abelian subcategoriesCentral algebraic cohomology of Galois gerbesHarmonic Norms on Quiver Representations over Non-Archimedean FieldsRotation fixed points of undecorated braid varieties and fusion rings of affine Lie algebrasQuantum gates from the middle convolution of twisted Burau representationsSeven Coincidences and Sixty SymmetriesTranslation invariant quadratic forms in $8$ variables and dense sets of primesThe crystal groupoid of a compact semisimple Lie group and its flag varietiesOrdinary modules for affine vertex operator superalgebrasIdeals of homomorphic images of the enveloping algebra of the Witt algebraQuasi-modularity of $q$-traces and integrals over Hilbert schemes

Grassmannian樹網とクィバーと表現の構造 - 2026/10/1の論文18本

Oct 1, 2026 37 min

arXiv math.RTの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-01/ Symmetric spaces and skew multiplicity free representationsNormalization graphs and Dold-Kan equivalences for generalized Reedy categoriesHigher Cotorsion Pairs on Image-Nilpotent $\eta$-ExtensionsRelative Derived Delooping Levels and $\tau$-Tilting ModulesSingularities of orbit closures in loop spaces of symmetric varieties II: twisted casesUnequal-parameter Kostka--Foulkes polynomials of type $C_n$ at fundamental weightsDuality functors for Coulomb branches ITilting mutation of gentle algebras and its combinatorial descriptionOn Irreducibility and Multiplicity One Property for Non-Archimedean Type-II Theta LiftingUnipotent representations and the categorical trace of FrobeniusTensor Product Does Not Behave Additively on Delooping LevelLower affine MV polytopes of rank 2Para families of orthogonal polynomialsGrassmannian tree webs and cluster variablesOrthogonal Model StructuresQuivers variety for affine orthogonal quiverA mixing time method for estimating the sample complexity of quantum state discriminationExact sequences of representation categories of weak Hopf algebras

デルーピングとポセットと群の対応 - 2026/9/30の論文12本

Sep 30, 2026 25 min

arXiv math.RTの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-30/ Counterexamples and gap phenomena for derived delooping levelsRelative Suspension and Higher Delooping for Support $\tau$-Tilting ModulesComplexes of modules over hierarchical groupsDirac operators for Cartan motion groupsAbsolutely irreducible modules via James triplesA Galois-equivariant Dade-Glauberman-Nagao correspondence with central defectAsymptotics for number of indecomposable components of tensor powers of the natural $\mathrm{SL}_2$-module in odd characteristicDiagrammatic bases from stratified normalizationA Note on Universal Positivity of Rank-Two Quantum Greedy ElementsCharacteristic-free Kn\"orrer periodicityAbsolute moved spaces and noncrossing partition posets in arbitrary Coxeter groupsEuclidean modules, submodules of their direct sums and strong reduced echelon form

リー代数とヘッケ代数とトーション - 2026/9/29の論文29本

Sep 29, 2026 1 hr 1 min

arXiv math.RTの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-29/ Gorenstein cotorsion pairs induced by balanced pairsTorsion proliferationClassification of $U(\mathfrak h)$-Free Modules over the Heisenberg-Virasoro type Lie superalgebra via Polynomial Shift OperatorsRootwise estimates for Weyl alternantsSymmetric Branching via Laurent Phenomenon AlgebrasOn the number of $\ell$-regular conjugacy classesFiniteness properties of profinite blocks and blocks with defect group $\mathbb Z_p^n$Derived Delooping Levels of One-Point Extensions and Finitistic DimensionsWell-tempered symmetric spacesNonunimodal principal spectra of Frobenius parabolic Lie algebrasBlock Relations and Clifford Theory for H-TriplesExplicit $H_3$ relation in the diagrammatic Hecke categoryQuasi-cellular categories and the structure of the Brauer categoryOn Representations of $\mathrm{GL}_n(\mathrm{D})$ admitting a generalized linear periodBounded functor cohomology and comparison theoremThe fields generated by character values of linear and unitary groupsA proof of Frenkel's bound for the hyperbolic Kac-Moody Lie Algebra A_1^++Keller's conjecture for split finite-dimensional algebrasJordan induction for $\mathrm{GL}_n(\mathcal{O})$Automorphic $C^*$-algebras of reductive groupsRelative Global Dimension of Controllable ExtensionsGrothendieck rings of pivotal fusion categories of rank fourClassical freeness of affine vertex algebras of $\mathfrak{sl}_2$ at boundary admissible levelsA Reduction Theorem for the Alperin-McKay-Navarro ConjectureModulation spaces: from Feichtinger's original definition to modern Gabor and symplectic characterizationsExceptional poles of archimedean Asai $L$-functionsHigher orthogonality and truncation in canonical pretriangulated quotientsStructure of derived Hecke algebras with coefficients in torsion-free profinite ringsEquivariant multiplicities and torsion at attractive fixed points

リー代数とクラスター構造と無限群 - 2026/9/28の論文6本

Sep 28, 2026 12 min

arXiv math.RTの新着論文6本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-28/ Generating Functions for Casimir Invariants of Simple Lie AlgebrasQuasi-equivalence of relabeled positroid cluster structuresA Proof of the Second brick-Brauer-Thrall Conjecture for $E$-infinite algebrasDemazure Models of Algebraic Tori in Dimension 4Special Cohen--Macaulay sheaves on partial resolutions of rational surfaces singularitiesA derived Chouinard's theorem for infinite groups

半群とクィバーと軌道と量子群と結晶 - 2026/9/25の論文7本

Sep 25, 2026 15 min

arXiv math.RTの新着論文7本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-25/ The Tambara-Yamagami calculus and finite semigroupsQuiver Bases of Cartan Squares of Minuscule RepresentationsA Cotangent Model for the Next-to-Minimal Orbit of E7Ringel self-duality of hereditary algebras via Auslander-Reiten theorySpecht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theoremOn vanishing and Hausdorffness of asymptotic cohomologyThe crystal of the categorified quantum group

リー代数と古典群と対称群と圏 - 2026/9/24の論文18本

Sep 24, 2026 37 min

arXiv math.RTの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-24/ Reduction Algebras Involving Symplectic Lie AlgebrasThe intersection of local Arthur packets for even orthogonal groups and applicationsOn the normality of the commuting schemeLifting $A_\infty$-structures through coverings with applications to fractional Brauer graph algebrasDegenerations of chain complexesLocally analytic representations in mixed characteristic via stacksCounterexamples to the Reiner-Shimozono conjecture and the failure of Schubert filtrationsEndoscopic liftings and parameters of epipelagic representations for classical groupsGabriel Spectrum of Persistence CategoriesOn the inductive Giannelli-McKay condition for sporadic groupsOn convex bodies with rotationally symmetric planar projectionsCosets with constant characteristic polynomialSpherical harmonics, operators of multiplication by coordinates, and infinitesimal conformal transformationsSymmetric group actions on the coordinate ring of the lower unipotent group and the polynomial ring with quantum parametersThe Kazhdan-Lusztig category of $\mathfrak{osp}_{1|2n}$ at irrational levelsSingle-Orbit Recovery of Groups via an Optimization PrincipleBraidings, duoidal categories and pre-Cartier structures for bi(co)modulesPartition functors and universal exponential relations

ブラウアーとルート系とダンクルと圏 - 2026/9/23の論文20本

Sep 23, 2026 39 min

arXiv math.RTの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-23/ An irreducible decomposition of the Weil representation restricted to open compact subgroupsCategorical representations of algebraic groups in positive characteristicMonoidal Gr\"obner systems and categories of affine Brauer typeA geometric realization of socle-projective categories for posets of type $\mathbb{D}$Indecomposable characters of the wreath product of a torus by the infinite block-diagonal symmetric groupFrobenius functors and $n$-torsionfree objectsExact dg structures are classified intrinsically by bi-Serre subcategoriesOn the Twisted Group Ring Isomorphism Problem for isoclinic groupsGraded Representation Theory of Equivariant Neural NetworksSlash indecomposability of Endopermutation Scott modulesThe Brauer $A(\infty)$ condition and Navarro's conjecture on Brauer characters under coprime actionsBrauer webs of finite and affine typeRepresentation-tame Gei\ss-Leclerc-Schr\"{o}er algebras and a revised GLS conjecture on root systemsMultiplicity One Property for Archimedean Theta CorrespondenceUniform bounds on the Dunkl kernelLittlewood-Paley theory for orthogonal expansions associated with root systemsFinite images of braid group representations and algebraic solutions of KZ-type equationsDunkl theory, convolution algebras, and related Markov processesRefining invariants of finite groups with class functionsA graph planar algebra approach to near-group categories

量子代数とコホモロジーと結晶基底 - 2026/9/22の論文26本

Sep 22, 2026 45 min

arXiv math.RTの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-22/ Base change and the Mackey formula in Deligne--Lusztig theoryFrom $\tau$-tilting to $\tau_2$-tilting via splitting tilting triplesMaximal proper extremal subset in the crystal basis of a finite-dimensional irreducible moduleQuantum Satake in Type A: The General and Generic CaseSign components of diagonal superspace coinvariantsLocal theta correspondence and generalized Shalika modelsTransferred $L_\infty$-structures and a classification of binary brackets for finite-dimensional skew-gentle algebrasAffine Harish-Chandra center in positive characteristicLift of the Trivial Representation: The Nonsplit Type $D$ CaseA bar operation on the double affine Hecke algebraGauge invariants raised from commutators of unimodular Hopf algebrasNonvanishing of cohomology for groupsOne-periodic category of twisted complexes, Cohen-Macaulay modules and differential modulesA non-spatial frame of smashing idealsTree Bricks and Finite Tree AutomataLocal cohomology with Schubert support on compact Hermitian symmetric spacesUnique mutation cycles of nucleus-extension quiversOctonions, Albert vectors and the group ${}^2 \mathrm{E}_6(F)$Counting tangles in coverings of closed 2-orbifolds via ribbon categoriesKodaira fibres and wrapped Floer cohomologyQuasi-overlap and quasi-grouping functions on bounded pseudo-ordered setsThe Auslander--Reiten conjecture for quantum complete intersectionsGeometry around unramified CM pointsAlgebraic independence of periods of Anderson modules and their hyperderivativesOn the inductive blockwise Alperin weight condition for type $\mathsf B$ and type $\mathsf C$Free Immersions in Critical Dimension from Lie Groups

旗多様体とリー代数と表現論 - 2026/9/21の論文11本

Sep 21, 2026 19 min

arXiv math.RTの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-21/ Double flag varieties of Levi type with a finite number of orbitsMinuscule Relations in Quantum $K$-Theory of Flag VarietiesA Gelfand model for the Okada algebraCategorical Lie-Rinehart modules and Shen-Larsson functorsSome freezing limits for Bessel functions and Bessel processes with drift of type $B_N$Eigenvectors of $p$-Curvature for Geometric Difference EquationsStructure and Representations of Restricted Lie color triple systemsRestricted (Relative) Rota-Baxter operators on restricted Lie algebras and restricted Lie triple systems and related structuresAn equivariant version of Gabber's lemmaCohomology, Extensions and Deformations of restricted Lie triple systemsProjection Constants of Polynomial Spaces via Representation Theory

表現論と代数幾何と圏論 - 2026/9/18の論文14本

Sep 18, 2026 24 min

arXiv math.RTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-18/ Tachikawa's second conjecture implies the Auslander-Reiten conjectureThe Arthur-Packet Support Equality for Real Reductive GroupsOn the Hiraga-Ichino-Ikeda conjecture on formal degrees for $\mathrm{G_2}$A Comparison Theorem for Parahoric Character SheavesA refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categoriesUnitary Branching for $\mathfrak{sl}(m\vert n), \mathfrak{osp}(m\vert 2n)$ and $F(4)$Representations of formal Lie groups and Lie pairsSkein theory and deformationsEndoscopic description of the local Langlands correspondence for $\mathrm{G}_2$Chow Vanishing and Motives of Cluster VarietiesFinite groups with a unique real $2$-blockThe Serre--Hochschild plane of a finite-dimensional algebraClassification of Automorphism Groups of Smooth Cubic Threefolds and FourfoldsRogers--Ramanujan identities from the geometry of $X^a=Y^b$

代数と表現論と志村多様体 - 2026/9/17の論文9本

Sep 17, 2026 16 min

arXiv math.RTの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-17/ Generalized conformal modules over the Virasoro conformal algebraSupport $\tau$-tilting modules over Morita context algebras: A bilateral approximation approachSymmetry breaking differential operators and Discrete SeriesMonodromy Eigenvectors for Difference Equations with Root-of-Unity StepVacuum Structure of Maximally Supersymmetric Two-Dimensional Gauge TheoriesOn the singularities and the Kodaira dimension of unitary Shimura varietiesStable Trace Formula for Newton strata of Shimura varietiesWehrl-type entropy problem for compact connected semisimple Lie groupsThe non-spherical sup-norm problem for $\mathrm{GL}(n)$ and generalized spherical functions

ループ空間と表現論と幾何学 - 2026/9/16の論文10本

Sep 16, 2026 17 min

arXiv math.RTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-16/ Loop spaces, twistor $\mathbb P^1$ and tempiric parametersFunctions on Nilpotent Orbit Covers and Birational GeometryA tensor square theorem for characters of $\operatorname{GL}_{n}(q)$The Mathieu Property for Compact Connected Lie GroupsLocal Langlands functoriality for Yu's supercuspidals I: Kaletha's parametrizationLocal Langlands functoriality for Yu's supercuspidals II: Fargues--Scholze's parametrizationOn Cowling's $L^p$-integrability conjecture for Kunze--Stein groupsModular functoriality for finite groupsA classification of finite simply reducible groups of order at most 2000An abelian envelope without the quotient property

表現論と量子代数と quiver の解析 - 2026/9/15の論文34本

Sep 15, 2026 58 min

arXiv math.RTの新着論文34本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-15/ On Donkin's Tilting Module Conjecture IV: New FrontiersOne-dimensional partial actions of 8-dimensional Hopf algebras and right coideal subalgebrasDifferential calculus on quantized irreducible flag manifoldsSimple Harish-Chandra bimodules in positive characteristicsThe Gaudin model and the super Bethe ansatz for unitarizable modules over the general linear Lie (super)algebraElementary modules of the generalized Kronecker quivers K(n)Graded Kronecker Modules of Constant RankAcyclic quantum cluster algebras via Hall algebras associated to cluster categoriesIgusa--Todorov Algebras and the Auslander--Reiten ConjectureBreaker Chains and Splitting of Interval Submodules in Zigzag ModulesOn the derived Hall algebra of a graded gentle one-cycle algebra II: Serre presentationNew runner removal theorems for the cyclotomic Hecke algebras of type $G(r,1,n)$Quantization of Preprojective Algebras and the Type A Rational Cherednik AlgebraQuasiparabolic Gelfand models for finite irreducible Coxeter groups and their canonical Hecke structuresOn $\boldsymbol{p}$-rationality in double covers of symmetric and alternating groupsVirasoro extensions of generalized Kac-Moody algebrasIntegral quiver presentations for $\mathscr R$-trivial semigroup algebrasInterval endomorphism algebras of posets: Reedy structure, combinatorics, and homological theoryThe coherent KLR sheafFusion-stable endosplit $p$-permutation resolutionsStringy invariants for abelian character varietiesConstructing Concrete Colour Tensors for Simple Lie AlgebrasLieb's Permanental Dominance Conjecture for Ordinary Immanants through Order FifteenCutoff for q-deformed classical card shuffles in the type A Iwahori--Hecke algebraDegrees of Fano Quiver ModuliCyclotomic expansions of colored $SU(n)$ invariants of two-strand torus knots and Bailey transformsZeros in The Character Table of The Wreath Product...

表現論と代数群とヘッケ代数 - 2026/9/14の論文9本

Sep 14, 2026 15 min

arXiv math.RTの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-14/ Hitchin's Conjecture for $\mathfrak{sl}_n$ in Odd Prime DegreeA Coefficient Calculus for Unitary (g,K)-Modules of SU(2,2)Cocenter of Hecke algebras of Kac-Moody groupsOn a question of Navarro on the field of values of characters of solvable groupsTorus actions on compactified braid varieties and polytopality of subword complexesOdd-rank maximal ideals at collapsing levels of type $D$A local approach to a programme of Meierfrankenfeld: initial setting and the symmetric caseAffine $\mathfrak{sl}_2$ at admissible levels and quantum $\mathfrak{sl}_{2|1}$Jacquet--Rallis transfer for GL(2)

表現論と代数構造と量子群 - 2026/9/11の論文12本

Sep 11, 2026 20 min

arXiv math.RTの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-11/ D-modules and Solvable Lie FoliationsThe $E_6$ Restricted Hyperplane Arrangement and its $E_7$ Shadow: Weyl Transport on a Minuscule Bruhat PosetFence Posets, Good Gradings and Frobenius Maximal ParabolicsWeak Bruhat interval modules of the 0-Hecke algebras for stable Grothendieck polynomialsQuasi-Whittaker supermodules over Lie superalgebrasRankin--Selberg integrals of opposite conductor--one newformsObstructions to Jacobi-Finiteness of Quivers with PotentialsRemarks on the shuffle elements of Iwahori--Hecke algebrasOn Diagrammatic Categorification of Verma Modules I: BraidingSome finite dimensional representations of shifted quantum affine algebras of type AGelfand--Tsetlin bases for representations of $\mathrm U_{q}(\mathfrak{gl}_n)$ at roots of unityA closed signature formula for the Katz-Long-Moody Hermitian form

クラスター代数と表現理論と幾何学 - 2026/9/10の論文14本

Sep 10, 2026 24 min

arXiv math.RTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-10/ A counterexample to the periodicity conjecture for finite-dimensional algebrasToric degeneration for hybrid qudit spacesSyzygy Transformations of Cluster Characters and Geometric TwistsDerived equivalences between diagram categories of finite posetsHybrid Kazhdan-Lusztig basis and parabolic inductionFiniteness and growth of brick chain filtrationsCluster Morita theorem for negative cluster categoriesDistinguished standard modules for $\mathrm{GL}_{2m}(\mathbb{C})/\mathrm{GL}_m(\mathbb{H})$Secant varieties of flag varieties via Schur apolarityWeyl defects in skein theory and quantum cluster chartsLefschetz properties for monomial complete intersectionsRepresentation Varieties of Stacks and Trace MapsThe Cuntz-Pimsner algebra of the simplest Motzkin subproduct system is 2-subhomogeneousLocal Ocneanu rigidity for separable algebra objects

代数構造と表現論と圏論の展開 - 2026/9/9の論文34本

Sep 9, 2026 57 min

arXiv math.RTの新着論文34本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-09/ Thick subcategories over weakly symmetric algebras with radical cube zeroA Note on Additive DiameterPAGR: Proof-Carrying Algebraic-Geometric Retrieval: A Quiver-, Provenance-, and Sheaf-Theoretic Framework for Grounded LLM RetrievalCriteria for discrete decomposability and admissibility in the branching problemA hereditary theorem for rigid and pseudorigid components of Lusztig's nilpotent varieties in type $A$Invariant Jacobian and the Center of a Homogeneous FormDerived Reconstruction of Semisimple Tensor and Module CategoriesKoszul duality for finite-dimensional absolutely Koszul algebrasA short note on Arthur parameters with singular orbit closuresAffine and cyclotomic Brauer categorification via $\imath$-Kac--Moody $2$-categories: the half-integral type $\operatorname{AIII}$ caseRepresentation and Extending structure of a Multiplicative Lie algebra$q$-Oper Structures on a Formal Punctured DiscQuasi-projective dimension and Gorenstein projective dimensionSplitting torsion classes in higher homological algebraAtomic Decompositions of Lie Characters and the Dominant Weight PosetQuasi-split iYangians: minimalistic presentations and coideal structuresPresenting mirabolic quantum Schur algebras $\mathcal{MS}_v(2,d)$Essential algebra of the shifted Burnside biset functor with abelian shiftThe Auslander-Reiten conjecture for algebras with radical cube zeroFrom Pre-triangulation to Triangulation: Obstructions and Exact LiftingPartial $F$-invariants and cluster categorificationsSymplectic Dirac operators on homogeneous spacesMutation Sequences along Weaves and Amalgamation of Braid VarietiesIterative construction of the R-matrices in arbitrary dimensionsCohomology theory of Novikov algebras and applicationsRanks of Verdier quotients of derived categories over local ringsPermutation Representations on Cohomology of Toric VarietiesThickening realizati...

行列ノルムとフラッグ多様体と量子双対性 - 2026/9/7の論文9本

Sep 7, 2026 16 min

arXiv math.RTの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-07/ Schatten norms and determinants of linear combinations of matrix tensor powers via virtual representationsOn a basepoint issue in the tempered dual of $p$-adic $SL(n)$Universality in the algebra and topology of cographsEven and odd minimal categorifications of the nilpotent part of classical and quantum sl(2)Cohomology on Cotangent Bundles of Partial Flag Varieties in Type Aq-Opers and Quantum/Classical Duality Beyond Type ASemiorthogonal decompositions for families of twisted flag varietiesCFT characters from localizationLocal Jacquet-Shalika integrals and modifying factors

表現論と圏論と代数幾何学 - 2026/9/4の論文17本

Sep 4, 2026 27 min

arXiv math.RTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-04/ Monoidal Categorification and Quantization of Braid VarietiesPositive kernels in Lie group representations and Fourier interpolationWhat is Smoothness?The Buckyball SpectrumSingular equivalences of $n$-adjoint type and standard eventually homological isomorphismsExceptional model structures and the induced extriangulated categoriesJantzen filtrations for graded affine Hecke algebrasEnumerating cores of charged multipartitionsUniversal Pl\"ucker positivity and the Octopus inequalityAdditive diameters and covering complexity of irreducible representationsOn the new bases attached to Weyl groups of exceptional typeStandard Representations of Crystallographic Coxeter GroupsSymbolic Powers and Asymptotic Invariants of GL-Invariant IdealsLecture hall polytopes and Lakshmibai-Seshadri pathsHaglund--Haiman--Loehr formula via Carlsson--Mellit AlgebraGalois representations ramified at one prime via relative deformation theoryAn obstruction to the maximal singularity of the Hilbert scheme of points on threefolds

量子群と表現論と頂点代数 - 2026/9/3の論文9本

Sep 3, 2026 16 min

arXiv math.RTの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-03/ Measures on partial ordersA negative answer to a question on tilting objects and two-term complexesA Serre-type presentation for $\imath$quantum supergroups of type AAlgebraic study of quantum configuration spaces of decorated flagsOn the representation type of higher preprojective algebras of type $A$Quantum wreath products and Yang-Baxter equationsContact fundamental forms and adjoint varietiesThe tensor category for W(2,2)-vertex algebraPetersson-Rigid Lattices in a Census of 100 Rank-Three Root Bases

代数構造と圏論と幾何学的性質 - 2026/9/2の論文16本

Sep 2, 2026 27 min

arXiv math.RTの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-02/ Shifted poles and chamber cancellation for classical Witten zeta functionsGallagher's Theorem for Real-valued Brauer CharactersAxiomatics for generic categories in positive characteristicA right pretriangulated category which is not right triangulatedScary Wheels (and Super Shrubs)Polynomiality for algebras of invariants associated with some In\"on\"u-Wigner contractions in type ATotal positivity in coordinate algebrasDiagrammatic Okada monoid and cellularity of the Okada algebraIntegral coefficient rings and homological dimensions of algebrasHopkins-Levitzki Type Theorems for Groupoid Graded RingsAlgebra objects in direct limit completions of compact Lie group duals and the classification of $c=1$ vertex operator algebrasTowards Categorical K\"ahler GeometryDeformation theory and the controlling $L_{\infty}$-structure of extended Rota-Baxter algebrasRegularized spectral expansion of a Rankin--Selberg period and momentsCohomology characters on the incidence correspondenceSharp Threshold for Universality of Rational Canonical Forms over a Finite Field

表現論と圏論と量子群と変形理論 - 2026/9/1の論文33本

Sep 1, 2026 58 min

arXiv math.RTの新着論文33本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-01/ Bounded $t$-structures on the category of strongly bounded objectsExamples of nontrivial presilting objects in a singularity categoryA pre-$(n+2)$-angulated category which is not $(n+2)$-angulatedModel structures on the category of Q-shaped modulesGeneralized Jantzen filtration, hyperbolic restriction, and characteristic cyclesPseudo-spherical representations and types for covers of split toriAuslander-Reiten-Serre duality revisitedPicture groups and green sequences from the perspective of Ringel--Hall algebrasTransfer of Wakamatsu tilting modules along Frobenius extensionsPoisson blow-ups and the adjoint quotientClassification of Simple Harish-Chandra Modules over the Loop Mirror HeisenbergVirasoro AlgebraABRR Summation Formulas for Relative Extremal ProjectorsGIT for root stacks and 3d mirror symmetryAuslander correspondence for higher stable dg categories and cluster Morita theoryKashiwara--Nakashima tableaux, Gelfand--Tsetlin patterns, and quantum symmetric pairsLinear independence of global monomials on positive spacesMorita equivalent blocks with an endotrivial source that are not globally isotypicCluster Geometry of Universal Schubert Polynomials I: Geometric Bases and Schubert TransitionsQuasimap critical cohomology, Coulomb branches, and quantum groupsThe arithmetic rank of nullcones of classical invariant ringsCyclotomic Newton Expansions and a Rank-Uniform Integer-Valued Newton CompletionDegree-shifted derived invariance of derived delooping levelsDivisor lattices and Schur positivity in cyclic inductionPoisson bialgebras by deformations-to-quasiclassical limitsEuler Characteristics of $\mathrm{SL}_4(\mathbb{Z})$ and $\mathrm{GL}_4(\mathbb{Z})$, and their cohomological consequencesDeformations and the controlling $L_{\infty}$-structure of extended Rota-Baxter Lie algebrasQuiver Semistability and Structured Kalman Decompositions for N...

軌道と表現と量子変換と圏 - 2026/8/31の論文16本

Aug 31, 2026 28 min

arXiv math.RTの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-08-31/ Orbits of maximal and submaximal dimension for Sylow $p$-subgroups of finite classical groupsOrbits of submaximal dimension for Sylow $p$-subgroups of finite classical orthogonal groupsAcyclic and totally acyclic objects in the $Q$-shaped derived categorySelf-Orthogonal $\tau$-Tilting Modules and Tilting Modules II: Annihilator SeparationLusztig-Vogan categories of equal rank 2An action of the affine Yangian $Y_{t_1,t_2}(\widehat{\mathfrak{gl}}_1)$ on the cohomology of the moduli space of stable sheaves on surfacesElementary divisors of the Cartan matrix for partial charactersZero-free columns in character tables of symmetric groupsSingularity Categories of Simple Singularities in Positive CharacteristicOn cluster deep loci in double Bruhat cellsSpecial Kirillov-Reshetikhin crystalsIndependence of the Grothendieck classes of twisted symplectic flag varietiesThe Twist Conjecture and the Isomorphism Problem for Coxeter groupsQuantum Fourier transform for the symmetric groupQuantum Fourier transform toolboxModular Functors with Singularities from Vertex Operator Algebras Beyond Rigidity and Finiteness