Anticommutative extension of the Adler map
classification
🌊 nlin.SI
keywords
extensionadleryang-baxteranticommutativebirationalconstructequationexcept
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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.
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