Garside groups and Yang-Baxter equation
Group Theory
2024-12-04 v3 Rings and Algebras
Abstract
We establish a one-to-one correspondence between a class of Garside groups admitting a certain presentation and the structure groups of non-degenerate, involutive and braided set-theoretical solutions of the quantum Yang-Baxter equation. We also characterize indecomposable solutions in terms of -pure Garside groups.
Cite
@article{arxiv.0912.4827,
title = {Garside groups and Yang-Baxter equation},
author = {Fabienne Chouraqui},
journal= {arXiv preprint arXiv:0912.4827},
year = {2024}
}
Comments
This is the last version of the paper, as it appears in Communications in Algebra, Volume 38 Issue 12, December 2010