Lie代数と除環と融合圏と大域次元 - 2026/9/29の論文25本

arXiv math.RAの新着論文25本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-29/ Algebras with Variable Structural Constants and Their Applications Algebras with Variable Operator-Valued Structural Constants and Their Applications Relative Global Dimension of Controllable Extensions Augmentation-Ideal Realization of Special Nottingham Congruence Series and Cartier Indecomposables Extremal Derived Length in the Unipotent Radicals of Cartan-Type Automorphism Groups Dual reflection groups for three-dimensional Artin--Schelter regular algebras $\Hom$-Lie structures on Lie algebras Global and local triviality for extensions of ample groupoids: an algebraic approach Conservative CSPs in Symmetric Linear Datalog Commutative algebras are ideals of evolution algebras On nilpotency in pre - Lie algebras Non-degenerate bilinear forms and left-symmetric structures A proper dg algebra which does not cogenerate Strong and Explicit Forms of the One-Sided Nullstellensatz over Division Rings Signed Euler--Smith Profiles of Graded Algebras Gr\"{u}n's Lemma for Semiassociative Mal'cev Algebras Non-commutative frieze patterns over quaternion algebras and other normed division rings Derived Delooping Levels of One-Point Extensions and Finitistic Dimensions Nonunimodal principal spectra of Frobenius parabolic Lie algebras Grothendieck rings of pivotal fusion categories of rank four The Conway-Parker algebra and the largest Fischer group Quasi-cellular categories and the structure of the Brauer category The Karcher Mean on Lie Groups of Upper Triangular Matrices A B\'ezout domain that is not an elementary divisor domain Keller's conjecture for split finite-dimensional algebras