Anticommutative extension of the Adler map

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.

Revised version: Small paragraph added to the introduction, and some other minor changes

References in corpus (1)

• Grassmann extensions of Yang-Baxter maps

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