Left Braces: Solutions of the Yang-Baxter Equation

Left Braces: Solutions of the Yang-Baxter Equation

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.

Bibliographic Details
Main Author: Ferran Cedó
Format: Article
Language:English
Published: Aracne 2018-06-01
Series:Advances in Group Theory and Applications
Subjects:
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
Online Access:http://www.advgrouptheory.com/journal/Volumes/5/F.%20Cedo%20-%20Left%20braces%20solutions%20of%20the%20Yang-Baxter%20equation.pdf

Internet

http://www.advgrouptheory.com/journal/Volumes/5/F.%20Cedo%20-%20Left%20braces%20solutions%20of%20the%20Yang-Baxter%20equation.pdf

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