素特性有限维奇数接触列超代数注释

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED Axioms Pub Date : 2023-12-08 DOI:10.3390/axioms12121108

Xiaoning Xu, Qiyuan Wang

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引用次数: 0

摘要

在特征p>3的域上，设KO(n,n+1;t _)表示奇接触李超代数。本文研究了奇接触李超代数KO(n,n+1;t _)的超推导。设TKO为KO(n,n+1;t *)的环面，KO(n,n+1;t *)是KO(n,n+1;t *)的一个阿贝尔子代数。利用KO(n,n+1;t′)对TKO的权空间分解方法，证明了KO(n,n+1;t′)的所有偏对称超微分都是内超微分。

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A Note on Finite Dimensional Odd Contact Lie Superalgebra in Prime Characteristic

Over a field of characteristic p>3, let KO(n,n+1;t̲) denote the odd contact Lie superalgebra. In this paper, the super-biderivations of odd Contact Lie superalgebra KO(n,n+1;t̲) are studied. Let TKO be a torus of KO(n,n+1;t̲), which is an abelian subalgebra of KO(n,n+1;t̲). By applying the weight space decomposition approach of KO(n,n+1;t̲) with respect to TKO, we show that all skew-symmetric super-biderivations of KO(n,n+1;t̲) are inner super-biderivations.

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来源期刊

Axioms Mathematics-Algebra and Number Theory

自引率

10.00%

发文量

604

审稿时长

11 weeks

期刊介绍： Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.