ポアソン代数と行列と量子クラスター代数 - 2026/9/15の論文24本

arXiv math.RAの新着論文24本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-15/ Constructive recurrences for determinants and permanents of banded Toeplitz matrices Dedekind Poisson Algebras over Arbitrary Fields On the Structure of Low-Dimensional Poisson Algebras over Arbitrary Fields On flat pseudo-Euclidean solvable Malcev algebras Extending structures for the linear framework of Universal Algebra with applications to transposed Poisson algebras Matrices over non-commutative rings as sums of fifth and seventh powers Yang-Baxter permutation group actions on distributive Yang-Baxter algebras Fast tensor transforms and ring-valued orthogonal matrices: an application to cryptography PHP decompositions and primitivity of group rings for linear groups The K\"othe conjecture via point modules Quaternionic Reflections and Lie Generation in $G_2$ On implicit operations and balanced categories The Cuntz semigroup of rings with stable rank one One-dimensional partial actions of 8-dimensional Hopf algebras and right coideal subalgebras Basis Rigidity of the AES S-box and Generic Rigidity of Inversion under Affine Transformations Simple Harish-Chandra bimodules in positive characteristics Acyclic quantum cluster algebras via Hall algebras associated to cluster categories Igusa--Todorov Algebras and the Auslander--Reiten Conjecture Essential quotients of the cohomology of products of symmetric and alternating groups New runner removal theorems for the cyclotomic Hecke algebras of type $G(r,1,n)$ Generating hypotheses along the motivic deformation Mixing Extriangulated Model Structures Laurent Symmetric Functions Integral quiver presentations for $\mathscr R$-trivial semigroup algebras