導分とリー代数とテンソルと超対称性 - 2026/10/20の論文19本

arXiv math.RAの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-20/ Derivations of the idealization of the incidence module over the finitary incidence algebra Special identities of nonsymmetric bicommutative operations in associative algebra with an operator $\frac{1}{2}$ derivations and biderivations of 3-dimensional nilpotent Lie-Yamaguti algebras A characterization of generalized derivations and biderivations on some simple algebras Metric preservation under approximate algebraic laws Rank and Border Rank Additivity of Complex Tensors with a Hankel Summand Classification of Hom--Lie structures on finite-dimensional simple Lie algebras The four-dimensional Sklyanin algebras revisited 2-Local Derivations on Conformal Galilei Lie Algebras and Their Central Extensions Classification of all non-split central extensions of naturally graded 2-filiform non-Lie Leibniz algebras Dual Reflection Groups from Solutions to the Yang--Baxter Equation A Non-linearizable Action of $S_3$ on Free Metabelian Lie and Associative Algebras The two-step spectral locus of the octonionic structure operator Weighted Power Means on Upper Triangular Matrix Groups All totally real abelian number fields of class number one are Euclidean Derived equivalence classification of twisted and generalized multifold extensions of affine type Superschemes and supermanifolds with free $\mathbb{A}^{0|n}$-action Principal bundles in supersymmetry New Maximum Hermitian $d$-Codes and New Invariants from Skew Polynomial Rings