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arXiv · 1701.09109

A characterization of finite multipermutation solutions of the Yang-Baxter equation

D. Bachiller·F. Cedó·L. Vendramin
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Abstract

We prove that a finite non-degenerate involutive set-theoretic solution (X,r) of the Yang-Baxter equation is a multipermutation solution if and only if its structure group G(X,r) admits a left ordering or equivalently it is poly-(infinite cyclic).

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D. Bachiller, F. Cedó, L. Vendramin. 2017-01-31. A characterization of finite multipermutation solutions of the Yang-Baxter equation. https://doi.org/10.5565/publmat6221809

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