"Set-theoretical" solutions of the quantum Yang-Baxter equation and a class of Garside groups
Group Theory
2024-12-04 v2 Mathematical Physics
math.MP
Abstract
We establish a one-to-one correspondence between structure groups of non-degenerate, involutive and braided "set-theoretical" solutions of the quantum Yang-Baxter equation and Garside groups with a certain presentation. Moreover, we show that the solution is indecomposable if and only if its structure group is a pure Garside group.
Keywords
Cite
@article{arxiv.0811.4064,
title = {"Set-theoretical" solutions of the quantum Yang-Baxter equation and a class of Garside groups},
author = {Fabienne Chouraqui},
journal= {arXiv preprint arXiv:0811.4064},
year = {2024}
}