On Quadrirational Yang-Baxter Maps
Quantum Algebra
2010-04-19 v2 Mathematical Physics
math.MP
Abstract
We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain singularity invariance condition. This leads to some new families of Yang-Baxter maps corresponding to the geometric symmetries of pencils of quadrics.
Cite
@article{arxiv.0911.2895,
title = {On Quadrirational Yang-Baxter Maps},
author = {V. G. Papageorgiou and Yu. B. Suris and A. G. Tongas and A. P. Veselov},
journal= {arXiv preprint arXiv:0911.2895},
year = {2010}
}
Comments
Proceedings of the workshop "Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems" (Glasgow, March-April 2009)