Set-theoretic solutions of the Yang-Baxter equation, graphs and computations

被引：20
|
作者：
Gateva-Ivanova, Tatiana [1 ,2 ]
Majid, Shahn [2 ,3 ]
机构：
[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria
[2] Amer Univ Bulgaria, Blagoevgrad 2700, Bulgaria
[3] Queen Mary Univ London, Sch Math, London E1 4NS, England
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2007年 / 42卷 / 11-12期
关键词：
Yang-Baxter; semigroups; quantum groups; graphs;
D O I：
10.1016/j.jsc.2007.06.007
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We extend our recent work on set-theoretic solutions of the Yang-Baxter or braid relations with new results about their automorphism groups, strong twisted unions of solutions and multipermutation solutions. We introduce and study graphs of solutions and use our graphical methods for the computation of solutions of finite order and their automorphisms. Results include a detailed study of solutions of multipermutation level 2. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1079 / 1112
页数：34
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