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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
33 pages, 6 .eps figures

Keywords

Quantum Algebra, Combinatorics, 81R50; 16W50; 16S36

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/128895

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.1894
 http://arxiv.org/abs/0705.1894

Collections

arXiv