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.File in questo prodotto:
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