Left Braces: Solutions of the Yang-Baxter Equation

被引：47

作者：

Cedo, Ferran ^{[1
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

ADVANCES IN GROUP THEORY AND APPLICATIONS | 2018年 / 5卷

关键词：

left brace; Yang-Baxter equation; set-theoretic solution; Jacobson radical; holomorph; regular subgroup; monoid of I-type; group of I-type; bijetive; 1-cocycle; Garside monoid; Garside group;

D O I：

10.4399/97888255161422

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is a survey on the theory of left braces, an algebraic structure introduced by Rump as a generalization of Jacobson radical rings to study non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation.

引用

页码：33 / 90

页数：58

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