LEFT BRACES AND THE QUANTUM YANG-BAXTER EQUATION

被引：13

作者：

Meng, H. ^{[1
]}

Ballester-Bolinches, A. ^{[1
]}

Esteban-Romero, R. ^{[1
,2
]}

机构：

[1] Univ Valencia, Dept Matemat, E-46100 Valencia, Spain

[2] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Cami Vera S-N, E-46022 Valencia, Spain

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2019年 / 62卷 / 02期

关键词：

p-nilpotent group; braces; Yang-Baxter equation; RINGS;

D O I：

10.1017/S0013091518000664

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Braces were introduced by Rump in 2007 as a useful tool in the study of the set-theoretic solutions of the Yang-Baxter equation. In fact, several aspects of the theory of finite left braces and their applications in the context of the Yang-Baxter equation have been extensively investigated recently. The main aim of this paper is to introduce and study two finite brace theoretical properties associated with nilpotency, and to analyse their impact on the finite solutions of the Yang-Baxter equation.

引用

页码：595 / 608

页数：14

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