リー代数とヘッケ代数とトーション - 2026/9/29の論文29本

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 pairs Torsion proliferation Classification of $U(\mathfrak h)$-Free Modules over the Heisenberg-Virasoro type Lie superalgebra via Polynomial Shift Operators Rootwise estimates for Weyl alternants Symmetric Branching via Laurent Phenomenon Algebras On the number of $\ell$-regular conjugacy classes Finiteness properties of profinite blocks and blocks with defect group $\mathbb Z_p^n$ Derived Delooping Levels of One-Point Extensions and Finitistic Dimensions Well-tempered symmetric spaces Nonunimodal principal spectra of Frobenius parabolic Lie algebras Block Relations and Clifford Theory for H-Triples Explicit $H_3$ relation in the diagrammatic Hecke category Quasi-cellular categories and the structure of the Brauer category On Representations of $\mathrm{GL}_n(\mathrm{D})$ admitting a generalized linear period Bounded functor cohomology and comparison theorem The fields generated by character values of linear and unitary groups A proof of Frenkel's bound for the hyperbolic Kac-Moody Lie Algebra A_1^++ Keller's conjecture for split finite-dimensional algebras Jordan induction for $\mathrm{GL}_n(\mathcal{O})$ Automorphic $C^*$-algebras of reductive groups Relative Global Dimension of Controllable Extensions Grothendieck rings of pivotal fusion categories of rank four Classical freeness of affine vertex algebras of $\mathfrak{sl}_2$ at boundary admissible levels A Reduction Theorem for the Alperin-McKay-Navarro Conjecture Modulation spaces: from Feichtinger's original definition to modern Gabor and symplectic characterizations Exceptional poles of archimedean Asai $L$-functions Higher orthogonality and truncation in canonical pretriangulated quotients Structure of derived Hecke algebras with coefficients in torsion-free profinite rings Equivariant multiplicities and torsion at attractive fixed points