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

Abstract. We extend our recent work on set-theoretic solutions of the YangBaxter 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.

• Type: Journal
• Year: 2007
• Where: JSC
• Authors: Tatiana Gateva-Ivanova, Shahn Majid
• Keywords: JSC 2007, Set-theoretic Solutions, Solutions, Strong Twisted Unions