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arXiv · 1502.00790

Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova

L. Vendramin
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Abstract

We develop a theory of extensions for involutive and nondegenerate solutions of the set-theoretic Yang-Baxter equation and use it to produce new families of solutions. As an application we construct an infinite family of counterexamples to a conjecture of Gateva-Ivanova related to the retractability of square-free solutions.

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L. Vendramin. 2015-02-03. Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova. https://doi.org/10.1016/j.jpaa.2015.10.018

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