A characterization of finite multipermutation solutions of the Yang-Baxter equation
Group Theory
2018-06-08 v3 Quantum Algebra
Abstract
We prove that a finite non-degenerate involutive set-theoretic solution (X,r) of the Yang-Baxter equation is a multipermutation solution if and only if its structure group G(X,r) admits a left ordering or equivalently it is poly-(infinite cyclic).
Keywords
Cite
@article{arxiv.1701.09109,
title = {A characterization of finite multipermutation solutions of the Yang-Baxter equation},
author = {D. Bachiller and F. Cedó and L. Vendramin},
journal= {arXiv preprint arXiv:1701.09109},
year = {2018}
}
Comments
7 pages