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 varieties Non-canonical Oscillator Representations of Orthogonal Lie Algebras and Pfaffian Varieties Generalized symmetric pairs, Lie superalgebras, Dirac operators and Kostant constants Cellular bases of mirabolic Hecke algebras The associated graded algebras of biserial fractional Brauer graph algebras Derived equivalence classification of twisted and generalized multifold extensions of affine type Shifted quantum affine symmetric pairs: finite presentations and graded coideal structures Quantum symmetric spaces at roots of 1 Cohomology and Representation Theory for Lie Superalgebras Lusztig's asymptotic algebra and a cell factorisation for the second lowest two-sided cell in type $\tilde{B}_n$ Brauer and iquantum categorification Twisted logarithmic de Rham complexes and the rational hit conjecture Counting Irreducible Components of the Semistable Global Nilpotent Cone Decomposing the Action of Macdonald Operators for Classical Types Socle formulas for rigid irreducible components of Lusztig's nilpotent varieties in type $A$ Ramanujan Conjecture and Riemann Hypothesis for the unitary groups over function fields Strong $\mathfrak{sl}_2$ Actions and Symmetric Chain Decompositions Stevens' Approach to Kloosterman Sums on Split Groups The big cactus group, invariant tensors, and rectangular tableaux On the classification of threefold flops Classification of twisted Yangians as coideal subalgebras of Yangians The 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 transforms Prekosmic Grothendieck/Galois Categories Superschemes and supermanifolds with free $\mathbb{A}^{0|n}$-action Principal bundles in supersymmetry Flip classes and elementary expansions of vertical-strip LLT polynomials The two-step spectral locus of the octonionic structure operator </