BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS

Considering quantum algebras and skew Poincaré-Birkhoff-Witt (PBW for short) extensions defined by a ring and a set of variables with relations between them, we are interesting in finding a criteria and some algorithms which allow us to decide whether an algebraic structure, defined by variables and...

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Autores:
Reyes, Armando
Suárez, Héctor
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/67336
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/67336
http://bdigital.unal.edu.co/68365/
Palabra clave:
53 Física / Physics
5 Ciencias naturales y matemáticas / Science
Quantum algebras
skew Poincaré-Birkhoff-Witt
Álgebras cuánticas
extensiones torcidas de Poincaré-Birkhoff-Witt
lema del diamante.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Reyes, Armando5ef6c88d-b616-4fe2-a14f-8496d7801ed5300Suárez, Héctora5b7e570-63c2-45e9-87f2-3ed7bd0feb963002019-07-03T04:02:21Z2019-07-03T04:02:21Z2017-01-01ISSN: 2500-8013https://repositorio.unal.edu.co/handle/unal/67336http://bdigital.unal.edu.co/68365/Considering quantum algebras and skew Poincaré-Birkhoff-Witt (PBW for short) extensions defined by a ring and a set of variables with relations between them, we are interesting in finding a criteria and some algorithms which allow us to decide whether an algebraic structure, defined by variables and relations between them, can be expressed as a skew PBW extension, so that the base of the structure is determined. Finally, we illustrate our treatment with examples concerning quantum physics.Para las álgebras cuánticas y las extensiones torcidas de Poincaré-Birkhoff-Witt definidas por un anillo y un conjunto de variables con relaciones entre ellas, estamos interesados en establecer un criterio y algunos algoritmos que nos permitan decidir si una estructura algebraica, definida en términos de generadores y relaciones, puede expresarse como una extensión torcida de Poincaré-Birkhoff-Witt, de manera que se determine la base de la misma. Ilustramos nuestro tratamiento con diversas álgebras de la física cuántica.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Físicahttps://revistas.unal.edu.co/index.php/momento/article/view/62431Universidad Nacional de Colombia Revistas electrónicas UN MOMENTO - Revista de FísicaMOMENTO - Revista de FísicaReyes, Armando and Suárez, Héctor (2017) BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS. MOMENTO (54). pp. 54-75. ISSN 2500-801353 Física / Physics5 Ciencias naturales y matemáticas / ScienceQuantum algebrasskew Poincaré-Birkhoff-WittÁlgebras cuánticasextensiones torcidas de Poincaré-Birkhoff-Wittlema del diamante.BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONSArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL62431-317211-1-PB.pdfapplication/pdf427015https://repositorio.unal.edu.co/bitstream/unal/67336/1/62431-317211-1-PB.pdfee18bd285749ab56e0e7c21617561782MD51THUMBNAIL62431-317211-1-PB.pdf.jpg62431-317211-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6597https://repositorio.unal.edu.co/bitstream/unal/67336/2/62431-317211-1-PB.pdf.jpg01a3d7793ab1d9d3f2e4d3be1f13e968MD52unal/67336oai:repositorio.unal.edu.co:unal/673362024-05-21 23:09:01.66Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
title BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
spellingShingle BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
53 Física / Physics
5 Ciencias naturales y matemáticas / Science
Quantum algebras
skew Poincaré-Birkhoff-Witt
Álgebras cuánticas
extensiones torcidas de Poincaré-Birkhoff-Witt
lema del diamante.
title_short BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
title_full BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
title_fullStr BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
title_full_unstemmed BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
title_sort BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
dc.creator.fl_str_mv Reyes, Armando
Suárez, Héctor
dc.contributor.author.spa.fl_str_mv Reyes, Armando
Suárez, Héctor
dc.subject.ddc.spa.fl_str_mv 53 Física / Physics
5 Ciencias naturales y matemáticas / Science
topic 53 Física / Physics
5 Ciencias naturales y matemáticas / Science
Quantum algebras
skew Poincaré-Birkhoff-Witt
Álgebras cuánticas
extensiones torcidas de Poincaré-Birkhoff-Witt
lema del diamante.
dc.subject.proposal.spa.fl_str_mv Quantum algebras
skew Poincaré-Birkhoff-Witt
Álgebras cuánticas
extensiones torcidas de Poincaré-Birkhoff-Witt
lema del diamante.
description Considering quantum algebras and skew Poincaré-Birkhoff-Witt (PBW for short) extensions defined by a ring and a set of variables with relations between them, we are interesting in finding a criteria and some algorithms which allow us to decide whether an algebraic structure, defined by variables and relations between them, can be expressed as a skew PBW extension, so that the base of the structure is determined. Finally, we illustrate our treatment with examples concerning quantum physics.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T04:02:21Z
dc.date.available.spa.fl_str_mv 2019-07-03T04:02:21Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2500-8013
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/67336
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/68365/
identifier_str_mv ISSN: 2500-8013
url https://repositorio.unal.edu.co/handle/unal/67336
http://bdigital.unal.edu.co/68365/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/momento/article/view/62431
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN MOMENTO - Revista de Física
MOMENTO - Revista de Física
dc.relation.references.spa.fl_str_mv Reyes, Armando and Suárez, Héctor (2017) BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS. MOMENTO (54). pp. 54-75. ISSN 2500-8013
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Física
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/67336/1/62431-317211-1-PB.pdf
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