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

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...

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Autor principal: Vendramin, L.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00224049_v220_n5_p2064_Vendramin
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00224049_v220_n5_p2064_Vendramin2023-10-03T14:32:44Z Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova Vendramin, L. 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. © 2015 Elsevier B.V. Fil:Vendramin, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00224049_v220_n5_p2064_Vendramin
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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. © 2015 Elsevier B.V.
format JOUR
author Vendramin, L.
spellingShingle Vendramin, L.
Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova
author_facet Vendramin, L.
author_sort Vendramin, L.
title Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova
title_short Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova
title_full Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova
title_fullStr Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova
title_full_unstemmed Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova
title_sort extensions of set-theoretic solutions of the yang-baxter equation and a conjecture of gateva-ivanova
url http://hdl.handle.net/20.500.12110/paper_00224049_v220_n5_p2064_Vendramin
work_keys_str_mv AT vendraminl extensionsofsettheoreticsolutionsoftheyangbaxterequationandaconjectureofgatevaivanova
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