Folding of set-theoretical solutions of the Yang-Baxter equation
Group Theory
2010-09-20 v1 Quantum Algebra
Abstract
We establish a correspondence between the invariant subsets of a non-degenerate symmetric set-theoretical solution of the quantum Yang-Baxter equation and the parabolic subgroups of its structure group, equipped with its canonical Garside structure. Moreover, we introduce the notion of a foldable solution, which extends the one of a decomposable solution.
Keywords
Cite
@article{arxiv.1009.3342,
title = {Folding of set-theoretical solutions of the Yang-Baxter equation},
author = {Fabienne Chouraqui and Eddy Godelle},
journal= {arXiv preprint arXiv:1009.3342},
year = {2010}
}