A simple method for obtaining PBW-basis for some small quantum algebras

Detalhes bibliográficos
Autor(a) principal: Dylewski, Vanusa Moreira
Data de Publicação: 2018
Outros Autores: Pogorelsky, Bárbara Seelig, Renz, Carolina Noele
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/175046
Resumo: In this paper, using a much simpler method than the previous existing ones, we explicitly describe the PBW-generators of the multiparameter quantum groups U+ q (g), where g is a simple Lie algebra of small dimen- sion, while the main parameter of quantization q is not a root of the unity.
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spelling Dylewski, Vanusa MoreiraPogorelsky, Bárbara SeeligRenz, Carolina Noele2018-04-26T02:33:07Z20181312-8868http://hdl.handle.net/10183/175046001064510In this paper, using a much simpler method than the previous existing ones, we explicitly describe the PBW-generators of the multiparameter quantum groups U+ q (g), where g is a simple Lie algebra of small dimen- sion, while the main parameter of quantization q is not a root of the unity.application/pdfengInternational journal of algebra. Vidin, Bulgária. Vol. 12, no. 2 (2018) p. 69-81Grupos quanticosAlgebras de hopfQuantum groupsHopf algebrasPBW-generatorsA simple method for obtaining PBW-basis for some small quantum algebrasEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL001064510.pdf001064510.pdfTexto completo (inglês)application/pdf257281http://www.lume.ufrgs.br/bitstream/10183/175046/1/001064510.pdfca731e65fd33adbea31fb484370a651bMD51TEXT001064510.pdf.txt001064510.pdf.txtExtracted Texttext/plain33335http://www.lume.ufrgs.br/bitstream/10183/175046/2/001064510.pdf.txt3b3a95248c27f2f90c6cb8f63be9eae4MD52THUMBNAIL001064510.pdf.jpg001064510.pdf.jpgGenerated Thumbnailimage/jpeg1562http://www.lume.ufrgs.br/bitstream/10183/175046/3/001064510.pdf.jpg227ae58a67622c1ff6616168c5bfa7f0MD5310183/1750462018-10-24 08:54:46.132oai:www.lume.ufrgs.br:10183/175046Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-24T11:54:46Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv A simple method for obtaining PBW-basis for some small quantum algebras
title A simple method for obtaining PBW-basis for some small quantum algebras
spellingShingle A simple method for obtaining PBW-basis for some small quantum algebras
Dylewski, Vanusa Moreira
Grupos quanticos
Algebras de hopf
Quantum groups
Hopf algebras
PBW-generators
title_short A simple method for obtaining PBW-basis for some small quantum algebras
title_full A simple method for obtaining PBW-basis for some small quantum algebras
title_fullStr A simple method for obtaining PBW-basis for some small quantum algebras
title_full_unstemmed A simple method for obtaining PBW-basis for some small quantum algebras
title_sort A simple method for obtaining PBW-basis for some small quantum algebras
author Dylewski, Vanusa Moreira
author_facet Dylewski, Vanusa Moreira
Pogorelsky, Bárbara Seelig
Renz, Carolina Noele
author_role author
author2 Pogorelsky, Bárbara Seelig
Renz, Carolina Noele
author2_role author
author
dc.contributor.author.fl_str_mv Dylewski, Vanusa Moreira
Pogorelsky, Bárbara Seelig
Renz, Carolina Noele
dc.subject.por.fl_str_mv Grupos quanticos
Algebras de hopf
topic Grupos quanticos
Algebras de hopf
Quantum groups
Hopf algebras
PBW-generators
dc.subject.eng.fl_str_mv Quantum groups
Hopf algebras
PBW-generators
description In this paper, using a much simpler method than the previous existing ones, we explicitly describe the PBW-generators of the multiparameter quantum groups U+ q (g), where g is a simple Lie algebra of small dimen- sion, while the main parameter of quantization q is not a root of the unity.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-04-26T02:33:07Z
dc.date.issued.fl_str_mv 2018
dc.type.driver.fl_str_mv Estrangeiro
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dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/175046
dc.identifier.issn.pt_BR.fl_str_mv 1312-8868
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv International journal of algebra. Vidin, Bulgária. Vol. 12, no. 2 (2018) p. 69-81
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