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

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 categories Chromatic characters and root multiplicities for Borcherds--Kac--Moody algebras On the $K$-types of certain families of unitary highest weight representations of Hermitian Lie groups Combinatorics of Mirkovi\'c-Vilonen cycles in twisted affine Grassmannians simple cartan-free modules of finite rank over the super-virasoro algebras Characters of $F_4(\mathbb{C})$ at involutions A quiver presentation of the type D arc algebras and intrinsic formality of $\mathbb{D}_4$ Calculating double-leaf coefficients in the Hecke category Tempered Symplectic Distinction For Quaternionic $GL_n(D)$: A Conjecture of PRASAD Tao-Travkin equivalence revisited Classification of reductive monoids Irreducibility of Verma modules for symmetrizable Kac-Moody superalgebras A Morris recursion rule for values of the spin characters of wreath products The Brou\'e invariant of a Morita equivalence with an endopermutation source Finite-dimensional Lie subalgebras of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{C})$ Moments and Large Geometric Monodromy for Linearly Constrained Kloosterman Families Restrictions of the dot action representation The commuting scheme of $\mathfrak{g}_2$ Automorphic commutator relations in relative geometric Langlands Braid group invariance of quantum tori and applications