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arXiv · 1906.03960

Distributive biracks and solutions of the Yang-Baxter equation

Přemysl Jedlička·Agata Pilitowska·Anna Zamojska-Dzienio
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Abstract

We investigate a class of non-involutive solutions of the Yang-Baxter equation which generalize self-distributive (derived) solutions. In particular, we study generalized multipermutation solutions in this class. We show that the Yang-Baxter (permutation) groups of such solutions are nilpotent. We formulate the results in the language of biracks.

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Přemysl Jedlička, Agata Pilitowska, Anna Zamojska-Dzienio. 2019-06-10. Distributive biracks and solutions of the Yang-Baxter equation. https://doi.org/10.1142/s0218196720500150

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