Yang-Baxter方程的斜支撑零性和多重项解

IF 1.2 2区数学 Q1 MATHEMATICS

Communications in Contemporary Mathematics Pub Date : 2022-05-03 DOI:10.1142/S021919972250064X

E. Jespers, A. V. Antwerpen, L. Vendramin

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引用次数: 10

摘要

我们研究了斜括号中幂零性的不同概念之间的关系以及在杨-巴克斯特方程解结构中的应用。特别地，我们考虑零化子幂零斜支撑，这是一个重要的类，它在支撑理论上类似于幂零群类。在这种情况下，群论中的几个著名定理在斜支撑的更一般的设置中得到了证明。

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Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation

We study relations between different notions of nilpotency in the context of skew braces and applications to the structure of solutions to the Yang-Baxter equation. In particular, we consider annihilator nilpotent skew braces, an important class that turns out to be a brace-theoretic analog to the class of nilpotent groups. In this vein, several well-known theorems in group theory are proved in the more general setting of skew braces.

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来源期刊

Communications in Contemporary Mathematics 数学-数学

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.