Distributive biracks and solutions of the Yang-Baxter equation
Quantum Algebra
2020-06-04 v2
Abstract
We investigate a class of non-involutive solutions of the Yang-Baxter equation which generalize self-distributive (derived) solutions. In particular, we study generalized multipermutation solutions in this class. We show that the Yang-Baxter (permutation) groups of such solutions are nilpotent. We formulate the results in the language of biracks.
Keywords
Cite
@article{arxiv.1906.03960,
title = {Distributive biracks and solutions of the Yang-Baxter equation},
author = {Přemysl Jedlička and Agata Pilitowska and Anna Zamojska-Dzienio},
journal= {arXiv preprint arXiv:1906.03960},
year = {2020}
}
Comments
Previous title was "Multipermutation distributive solutions of Yang-Baxter equation have nilpotent permutation groups"