Dynamical Yang-Baxter maps and Hopf algebroids associated with s-sets
Quantum Algebra
2016-06-10 v1
Abstract
An s-set is an algebraic generalization of the regular s-manifold introduced by Kowalski, one of the generalized symmetric spaces in differential geometry. We prove that suitable s-sets give birth to dynamical Yang-Baxter maps, set-theoretic solutions to a version of the quantum dynamical Yang-Baxter equation. As an application, Hopf algebroids and rigid tensor categories are constructed by means of these dynamical Yang-Baxter maps.
Keywords
Cite
@article{arxiv.1606.02789,
title = {Dynamical Yang-Baxter maps and Hopf algebroids associated with s-sets},
author = {Noriaki Kamiya and Youichi Shibukawa},
journal= {arXiv preprint arXiv:1606.02789},
year = {2016}
}
Comments
16 pages