2016/02/29 by Sotiris Konstantinou-Rizos, Alexander V. Mikhailov · 1 citation
Physics and Astronomy · #nlin.SI
paper · pdf · doi:10.1088/1751-8113/49/30/30lt03
published as J. Phys. A: Math. Theor. 49 (2016) 30LT03 (7pp) · Revised version: Small paragraph added to the introduction, and some other minor changes
arxiv created 2016/06/19 · arxiv updated 2016/07/21
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.