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arXiv math.RT (表現論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 研究者の皆様の情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

  1. 3d ago

    代数構造と幾何学的解析 - 2026/10/30の論文33本

    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 algebrasAn Arithmetic Property of Intertwining Operators for Real Reductive GroupsGalois module structure of Deligne--Lusztig varieties for $\mathrm{GL}_3$

  2. 5d ago

    量子二重性と代数構造 - 2026/10/28の論文21本

    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

  3. 6d ago

    表現構造と幾何的分類の体系 - 2026/10/27の論文32本

    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 singularity as hyperK\"ahler cone

  4. Oct 26

    量子群と結晶とトダシステム - 2026/10/26の論文16本

    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

  5. Oct 23

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

    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

  6. Oct 22

    表現論と幾何学的構造 - 2026/10/22の論文16本

    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

  7. Oct 21

    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

    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

  8. Oct 20

    量子群とHecke代数とリー超代数 - 2026/10/20の論文32本

    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 CategoriesSuperschemes and supermanifolds with free $\mathbb{A}^{0|n}$-actionPrincipal bundles in supersymmetryFlip classes and elementary expansions of vertical-strip LLT polynomialsThe two-step spectral locus of the octonionic structure operatorWeights of KZ motives and quantum groupsZero-free half-planes for Hecke L-functions over number fields

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arXiv math.RT (表現論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 研究者の皆様の情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

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