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The structure group and the permutation group of a set-theoretic solution of the quantum Yang-Baxter equation

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The structure group and the permutation group of a set-theoretic solution of the quantum Yang-Baxter equation

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dc.contributor.author Ballester-Bolinches, Adolfo
dc.contributor.author Esteban Romero, Ramón
dc.contributor.author Fuster Corral, Neus
dc.contributor.author Meng, Hangyang
dc.date.accessioned 2023-03-23T11:52:10Z
dc.date.available 2023-03-23T11:52:10Z
dc.date.issued 2021
dc.identifier.citation Ballester Bolinches, Adolfo Esteban Romero, Ramón Fuster Corral, Neus Meng, Hangyang 2021 The structure group and the permutation group of a set-theoretic solution of the quantum Yang-Baxter equation Mediterranean Journal Of Mathematics 18 145 168
dc.identifier.uri https://hdl.handle.net/10550/85889
dc.description.abstract We describe the left brace structure of the structure group and the permutation group associated to an involutive, non-degenerate set-theoretic solution of the quantum YangBaxter equation by using the Cayley graph of its permutation group with respect to its natural generating system. We use our descriptions of the additions in both braces to obtain new properties of the structure and the permutation groups and to recover some known properties of these groups in a more transparent way.
dc.language.iso eng
dc.relation.ispartof Mediterranean Journal Of Mathematics, 2021, vol. 18, p. 145-168
dc.subject Matemàtica
dc.title The structure group and the permutation group of a set-theoretic solution of the quantum Yang-Baxter equation
dc.type journal article es_ES
dc.date.updated 2023-03-23T11:52:10Z
dc.identifier.doi 10.1007/s00009-021-01793-7
dc.identifier.idgrec 140506
dc.rights.accessRights open access es_ES

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