Left braces and the quantum Yang-Baxter equation

[EN] Braces were introduced by Rump in 2007 as a useful tool in the study of the set-theoretic solutions of the Yang¿Baxter equation. In fact, several aspects of the theory of finite left braces and their applications in the context of the Yang¿Baxter equation have been extensively investigated rece...

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Detalles Bibliográficos
Autores: Meng, H., BALLESTER BOLINCHES, ADOLFO, Esteban Romero, Ramón
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/154382
Acceso en línea:https://riunet.upv.es/handle/10251/154382
Access Level:acceso abierto
Palabra clave:P-nilpotent group
Braces
Yang-Baxter equation
MATEMATICA APLICADA
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spelling Left braces and the quantum Yang-Baxter equationMeng, H.BALLESTER BOLINCHES, ADOLFOEsteban Romero, RamónP-nilpotent groupBracesYang-Baxter equationMATEMATICA APLICADA[EN] Braces were introduced by Rump in 2007 as a useful tool in the study of the set-theoretic solutions of the Yang¿Baxter equation. In fact, several aspects of the theory of finite left braces and their applications in the context of the Yang¿Baxter equation have been extensively investigated recently. The main aim of this paper is to introduce and study two finite brace theoretical properties associated with nilpotency, and to analyse their impact on the finite solutions of the Yang¿Baxter equation.This work was supported by the research grant MTM2014-54707-C3-1-P from the Ministerio de Economia y Competitividad, Spanish Government, and FEDER, European Union, and PROMETEO/2017/057 from Generalitat (Valencian Community, Spain). The first author was supported by grant number 201606890006 of the China Scholarship Council.Cambridge University PressGeneralitat ValencianaChina Scholarship CouncilEuropean Regional Development FundMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20192019-05-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/154382reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2014-54707-C3-1-P PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS IGeneralitat Valenciana https://doi.org/10.13039/501100003359 PROMETEO%2F2017%2F057China Scholarship Council https://doi.org/10.13039/501100004543 201606890006open accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1543822026-06-13T07:49:27Z
dc.title.none.fl_str_mv Left braces and the quantum Yang-Baxter equation
title Left braces and the quantum Yang-Baxter equation
spellingShingle Left braces and the quantum Yang-Baxter equation
Meng, H.
P-nilpotent group
Braces
Yang-Baxter equation
MATEMATICA APLICADA
title_short Left braces and the quantum Yang-Baxter equation
title_full Left braces and the quantum Yang-Baxter equation
title_fullStr Left braces and the quantum Yang-Baxter equation
title_full_unstemmed Left braces and the quantum Yang-Baxter equation
title_sort Left braces and the quantum Yang-Baxter equation
dc.creator.none.fl_str_mv Meng, H.
BALLESTER BOLINCHES, ADOLFO
Esteban Romero, Ramón
author Meng, H.
author_facet Meng, H.
BALLESTER BOLINCHES, ADOLFO
Esteban Romero, Ramón
author_role author
author2 BALLESTER BOLINCHES, ADOLFO
Esteban Romero, Ramón
author2_role author
author
dc.contributor.none.fl_str_mv Generalitat Valenciana
China Scholarship Council
European Regional Development Fund
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv P-nilpotent group
Braces
Yang-Baxter equation
MATEMATICA APLICADA
topic P-nilpotent group
Braces
Yang-Baxter equation
MATEMATICA APLICADA
description [EN] Braces were introduced by Rump in 2007 as a useful tool in the study of the set-theoretic solutions of the Yang¿Baxter equation. In fact, several aspects of the theory of finite left braces and their applications in the context of the Yang¿Baxter equation have been extensively investigated recently. The main aim of this paper is to introduce and study two finite brace theoretical properties associated with nilpotency, and to analyse their impact on the finite solutions of the Yang¿Baxter equation.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-05-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/154382
url https://riunet.upv.es/handle/10251/154382
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2014-54707-C3-1-P PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS I
Generalitat Valenciana https://doi.org/10.13039/501100003359 PROMETEO%2F2017%2F057
China Scholarship Council https://doi.org/10.13039/501100004543 201606890006
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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