Automorphisms and derivations of U-q (sl(4)(+))

Detalhes bibliográficos
Autor(a) principal: Stephane Launois
Data de Publicação: 2007
Outros Autores: Samuel A Lopes
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/126950
Resumo: We compute the automorphism group of the q-enveloping algebra U-q(sl(+)(4)) of the nilpotent Lie algebra of strictly upper 4 triangular matrices of size 4. The result obtained gives a positive answer to a conjecture of Andruskiewitsch and Dumas. We also compute the derivations of this algebra and then show that the Hochschild cohomology group of degree I of this algebra is a free (left) module of rank 3 (which is the rank of the Lie algebra Sl(4)) over the center of U-q(sl(4)(+))
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spelling Automorphisms and derivations of U-q (sl(4)(+))MatemáticaMathematicsWe compute the automorphism group of the q-enveloping algebra U-q(sl(+)(4)) of the nilpotent Lie algebra of strictly upper 4 triangular matrices of size 4. The result obtained gives a positive answer to a conjecture of Andruskiewitsch and Dumas. We also compute the derivations of this algebra and then show that the Hochschild cohomology group of degree I of this algebra is a free (left) module of rank 3 (which is the rank of the Lie algebra Sl(4)) over the center of U-q(sl(4)(+))20072007-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/126950eng0022-404910.1016/j.jpaa.2007.01.003Stephane LaunoisSamuel A Lopesinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T13:49:11Zoai:repositorio-aberto.up.pt:10216/126950Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:48:30.159819Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Automorphisms and derivations of U-q (sl(4)(+))
title Automorphisms and derivations of U-q (sl(4)(+))
spellingShingle Automorphisms and derivations of U-q (sl(4)(+))
Stephane Launois
Matemática
Mathematics
title_short Automorphisms and derivations of U-q (sl(4)(+))
title_full Automorphisms and derivations of U-q (sl(4)(+))
title_fullStr Automorphisms and derivations of U-q (sl(4)(+))
title_full_unstemmed Automorphisms and derivations of U-q (sl(4)(+))
title_sort Automorphisms and derivations of U-q (sl(4)(+))
author Stephane Launois
author_facet Stephane Launois
Samuel A Lopes
author_role author
author2 Samuel A Lopes
author2_role author
dc.contributor.author.fl_str_mv Stephane Launois
Samuel A Lopes
dc.subject.por.fl_str_mv Matemática
Mathematics
topic Matemática
Mathematics
description We compute the automorphism group of the q-enveloping algebra U-q(sl(+)(4)) of the nilpotent Lie algebra of strictly upper 4 triangular matrices of size 4. The result obtained gives a positive answer to a conjecture of Andruskiewitsch and Dumas. We also compute the derivations of this algebra and then show that the Hochschild cohomology group of degree I of this algebra is a free (left) module of rank 3 (which is the rank of the Lie algebra Sl(4)) over the center of U-q(sl(4)(+))
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/126950
url https://hdl.handle.net/10216/126950
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-4049
10.1016/j.jpaa.2007.01.003
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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