表現論と圏論と代数構造 - 2026/6/2の論文18本

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/2026-06-02/Kleshchev multipartitions, affine Mirkovi\'c-Vilonen polytopes, and representations of KLR algebras in type ${\tt A}^{(1)}_1$AHA! RSKClassifying subcategories of a Grothendieck category via its spectral categoryWeyl algebras on Braverman-Kazhdan spacesWide Regular Subalgebras of Symmetrizable Kac-Moody Algebras and an Extension of Schur's LemmaPerverse filtration on the cohomology of affine Springer fibersThe Unitarity of Arthur Packets for Real Reductive GroupsPresentations for categories of crystalsOn rational representations and rational group algebra of $\operatorname{GL}_2(q)$Folding shuffle algebras and twisted $q$-characters$(P,\phi)$-Tamari and higher torsion lattices of type $\mathbf{A}$Properties of deformed mass and phase functionsQuasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$The conflated expression graph for an arbitrary permutationThe categorical local Langlands conjectureBand Bases as Common Triangular Bases in Cluster Algebras from SurfacesStable Degeneration, Non-degenerate Forms, and Kaledin's ConjectureHybrid Clifford Codes via Operator Algebra Quantum Error Correction and Projective Representation Theory