Affine Actions and the Yang-Baxter Equation
Quantum Algebra
2016-07-13 v1
Abstract
In this paper, the relations between the Yang-Baxter equation and affine actions are explored in detail. In particular, we classify solutions of the Yang-Baxter equations in two ways: (i) by their associated affine actions of their structure groups on their derived structure groups, and (ii) by the C*-dynamical systems obtained from their associated affine actions. On the way to our main results, several other useful results are also obtained.
Keywords
Cite
@article{arxiv.1607.03393,
title = {Affine Actions and the Yang-Baxter Equation},
author = {Dilian Yang},
journal= {arXiv preprint arXiv:1607.03393},
year = {2016}
}
Comments
22 pages, submitted