Anticommutative extension of the Adler map

作者：Konstantinou Rizos S^*; Mikhailov A V

来源：Journal of Physics A-Mathematical and Theoretical, 2016, 49(30): 30LT03.

DOI：10.1088/1751-8113/49/30/30LT03

• Grassmann algebras
• Yang-Baxter maps
• Grassmann extensions of Yang-Baxter maps
• Grassmann extended Adler map

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.

• 出版日期2016-7-29