A new family of non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation is constructed. Two subfamilies, consisting of irretractable square-free solutions, are new counterexamples to Gateva-Ivanova's Strong Conjecture. They are in addition to those obtained by Vendramin.

A new family of set-theoretic solutions of the Yang-Baxter equation

CASTELLI, MARCO;Francesco Catino
;
PINTO, GIUSEPPINA
2018-01-01

Abstract

A new family of non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation is constructed. Two subfamilies, consisting of irretractable square-free solutions, are new counterexamples to Gateva-Ivanova's Strong Conjecture. They are in addition to those obtained by Vendramin.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/420070
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