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.
Titolo: | A new family of set-theoretic solutions of the Yang-Baxter equation |
Autori: | |
Data di pubblicazione: | 2018 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11587/420070 |
Appare nelle tipologie: | Articolo pubblicato su Rivista |
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