Set-theoretical reflection equation: Classification of reflection maps
Mathematical Physics
2013-02-22 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
The set-theoretical reflection equation and its solutions, the reflection maps, recently introduced by two of the authors, is presented in general and then applied in the context of quadrirational Yang-Baxter maps. We provide a method for constructing reflection maps and we obtain a classification of solutions associated to all the families of quadrirational Yang-Baxter maps that have been classified recently.
Cite
@article{arxiv.1210.5107,
title = {Set-theoretical reflection equation: Classification of reflection maps},
author = {V. Caudrelier and N. Crampe and Q. C. Zhang},
journal= {arXiv preprint arXiv:1210.5107},
year = {2013}
}