Set theoretic solutions of the Yang-Baxter equation, graphs and computations
Quantum Algebra
2007-05-23 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.0705.1894,
title = {Set theoretic solutions of the Yang-Baxter equation, graphs and computations},
author = {Tatiana Gateva-Ivanova and Shahn Majid},
journal= {arXiv preprint arXiv:0705.1894},
year = {2007}
}