Anticommutative extension of the Adler map
Exactly Solvable and Integrable Systems
2016-07-21 v2
Abstract
We construct a noncommutative (Grassmann) extension of the well known Adler Yang-Baxter map. It satisfies the Yang-Baxter equation, it is reversible and birational. Our extension preserves all the properties of the original map except the involutivity.
Keywords
Cite
@article{arxiv.1602.01714,
title = {Anticommutative extension of the Adler map},
author = {Sotiris Konstantinou-Rizos and Alexander V. Mikhailov},
journal= {arXiv preprint arXiv:1602.01714},
year = {2016}
}
Comments
Revised version: Small paragraph added to the introduction, and some other minor changes