Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt Extensions

Our aim in this paper is to investigate symmetry and reversibility properties for quantum algebras and skew PBW extensions. Under certain conditions we prove that these properties transfer from a ring of coefficients to a quantum algebra or skew PBW extension over this ring. In this way we generaliz...

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Autores:
Reyes, Armando
Jaramillo, Julio
Tipo de recurso:
Fecha de publicación:
2018
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/13190
Acceso en línea:
http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5105
http://hdl.handle.net/10784/13190
Palabra clave:
Symmetry
Reversibility
Quantum algebra
Skew Poincaré-Birkhoff-Witt extension
Simetría
Reversibilidad
Álgebra cuántica
Extensión torcida de Poincaré-Birkhoff-Witt
Rights
License
Copyright (c) 2018 Armando Reyes, Dr., Julio Jaramillo
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spelling 2018-06-142018-11-16T16:28:59Z2018-06-142018-11-16T16:28:59Z2256-43141794-9165http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5105http://hdl.handle.net/10784/1319010.17230/ingciencia.13.27.2Our aim in this paper is to investigate symmetry and reversibility properties for quantum algebras and skew PBW extensions. Under certain conditions we prove that these properties transfer from a ring of coefficients to a quantum algebra or skew PBW extension over this ring. In this way we generalize several results established in the literature and consider algebras which have not been studied before. We illustrate our results with remarkable examples of theoretical physics.Nuestro propósito en este artículo es investigar las propiedades de simetría y reversibilidad para álgebras cuánticas y extensiones PBW torcidas. Bajo ciertas condiciones mostramos que estas propiedades se transfieren de un anillo de coeficientes a un álgebra cuántica o extensión PBW torcida sobre este anillo. De esta manera generalizamos diversos resultados establecidos en la literatura, y los ampliamos a álgebras antes no estudiadas. Ilustramos nuestros resultados con ejemplos destacados de la física teórica.application/pdfengUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5105Copyright (c) 2018 Armando Reyes, Dr., Julio JaramilloAttribution 4.0 International (CC BY 4.0)http://creativecommons.org/licenses/by/4.0Acceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 14 No 27 (2018); 29-52Ingeniería y Ciencia; Vol 14 No 27 (2018); 29-52Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt ExtensionsPropiedades de simetría y reversibilidad para álgebras cuánticas y extensiones torcidas de Poincaré-Birkhoff-Wittinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionarticlepublishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1SymmetryReversibilityQuantum algebraSkew Poincaré-Birkhoff-Witt extensionSimetríaReversibilidadÁlgebra cuánticaExtensión torcida de Poincaré-Birkhoff-WittReyes, Armando95528acd-2047-493e-a496-2977fcfbc226-1Jaramillo, Julio930c568f-5dc5-4831-9155-e87623217e34-1Universidad Nacional de ColombiaIngeniería y Ciencia14272952ing.ciencTHUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/6c80c0d1-e5f5-450f-a9ca-501c6888cef2/downloadda9b21a5c7e00c7f1127cef8e97035e0MD51ORIGINALdocument (4).pdfdocument (4).pdfTexto completo PDFapplication/pdf681696https://repository.eafit.edu.co/bitstreams/6c53ac96-5ff0-4fee-80ea-1ccdf758fbe2/downloada225f84899a9ecbc27d81692a414af16MD52articulo.htmlarticulo.htmlTexto completo HTMLtext/html374https://repository.eafit.edu.co/bitstreams/f60f7ef7-e0fc-4300-89e2-a9e0adcb0874/download4736726cfd6342e194ea9f59c450e968MD5310784/13190oai:repository.eafit.edu.co:10784/131902024-12-04 11:49:20.593http://creativecommons.org/licenses/by/4.0Copyright (c) 2018 Armando Reyes, Dr., Julio Jaramilloopen.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt Extensions
dc.title.spa.fl_str_mv Propiedades de simetría y reversibilidad para álgebras cuánticas y extensiones torcidas de Poincaré-Birkhoff-Witt
title Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt Extensions
spellingShingle Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt Extensions
Symmetry
Reversibility
Quantum algebra
Skew Poincaré-Birkhoff-Witt extension
Simetría
Reversibilidad
Álgebra cuántica
Extensión torcida de Poincaré-Birkhoff-Witt
title_short Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt Extensions
title_full Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt Extensions
title_fullStr Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt Extensions
title_full_unstemmed Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt Extensions
title_sort Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt Extensions
dc.creator.fl_str_mv Reyes, Armando
Jaramillo, Julio
dc.contributor.author.none.fl_str_mv Reyes, Armando
Jaramillo, Julio
dc.contributor.affiliation.spa.fl_str_mv Universidad Nacional de Colombia
dc.subject.keyword.eng.fl_str_mv Symmetry
Reversibility
Quantum algebra
Skew Poincaré-Birkhoff-Witt extension
topic Symmetry
Reversibility
Quantum algebra
Skew Poincaré-Birkhoff-Witt extension
Simetría
Reversibilidad
Álgebra cuántica
Extensión torcida de Poincaré-Birkhoff-Witt
dc.subject.keyword.spa.fl_str_mv Simetría
Reversibilidad
Álgebra cuántica
Extensión torcida de Poincaré-Birkhoff-Witt
description Our aim in this paper is to investigate symmetry and reversibility properties for quantum algebras and skew PBW extensions. Under certain conditions we prove that these properties transfer from a ring of coefficients to a quantum algebra or skew PBW extension over this ring. In this way we generalize several results established in the literature and consider algebras which have not been studied before. We illustrate our results with remarkable examples of theoretical physics.
publishDate 2018
dc.date.available.none.fl_str_mv 2018-11-16T16:28:59Z
dc.date.issued.none.fl_str_mv 2018-06-14
dc.date.accessioned.none.fl_str_mv 2018-11-16T16:28:59Z
dc.date.none.fl_str_mv 2018-06-14
dc.type.eng.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.local.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 2256-4314
1794-9165
dc.identifier.uri.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5105
http://hdl.handle.net/10784/13190
dc.identifier.doi.none.fl_str_mv 10.17230/ingciencia.13.27.2
identifier_str_mv 2256-4314
1794-9165
10.17230/ingciencia.13.27.2
url http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5105
http://hdl.handle.net/10784/13190
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.isversionof.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5105
dc.rights.eng.fl_str_mv Copyright (c) 2018 Armando Reyes, Dr., Julio Jaramillo
Attribution 4.0 International (CC BY 4.0)
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.uri.none.fl_str_mv http://creativecommons.org/licenses/by/4.0
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Copyright (c) 2018 Armando Reyes, Dr., Julio Jaramillo
Attribution 4.0 International (CC BY 4.0)
http://creativecommons.org/licenses/by/4.0
Acceso abierto
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.none.fl_str_mv instname:Universidad EAFIT
reponame:Repositorio Institucional Universidad EAFIT
dc.source.eng.fl_str_mv Ingeniería y Ciencia; Vol 14 No 27 (2018); 29-52
dc.source.spa.fl_str_mv Ingeniería y Ciencia; Vol 14 No 27 (2018); 29-52
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institution Universidad EAFIT
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