Quantum V-algebras

Detalhes bibliográficos
Autor(a) principal: Gomes, J. F.
Data de Publicação: 2000
Outros Autores: Da Silveira, FEM, Zimerman, A. H., Sotkov, G. M.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://link.springer.com/book/10.1007%2F978-94-011-0990-1
http://hdl.handle.net/11449/23487
Resumo: The problem of the classification of the extensions of the Virasoro algebra is discussed. It is shown that all H-reduced G(r)-current algebras belong to one of the following basic algebraic structures: local quadratic W-algebras, rational U-algebras, nonlocal W-algebras, nonlocal quadratic WV-algebras and rational nonlocal UV-algebras. The main new features of the quantum Ir-algebras and their heighest weight representations are demonstrated on the example of the quantum V-3((1,1))-algebra.
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spelling Quantum V-algebrasThe problem of the classification of the extensions of the Virasoro algebra is discussed. It is shown that all H-reduced G(r)-current algebras belong to one of the following basic algebraic structures: local quadratic W-algebras, rational U-algebras, nonlocal W-algebras, nonlocal quadratic WV-algebras and rational nonlocal UV-algebras. The main new features of the quantum Ir-algebras and their heighest weight representations are demonstrated on the example of the quantum V-3((1,1))-algebra.Univ Estadual Paulista, Inst Fis Teor, BR-01405 São Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, BR-01405 São Paulo, BrazilMarcel DekkerUniversidade Estadual Paulista (Unesp)Gomes, J. F.Da Silveira, FEMZimerman, A. H.Sotkov, G. M.2014-05-20T14:06:54Z2014-05-20T14:06:54Z2000-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject417-437http://link.springer.com/book/10.1007%2F978-94-011-0990-1Nonassociative Algebra and Its Applications. New York: Marcel Dekker, v. 211, p. 417-437, 2000.0075-8469http://hdl.handle.net/11449/23487WOS:00016847750003792877760781495518215976645016606Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonassociative Algebra and Its Applicationsinfo:eu-repo/semantics/openAccess2021-10-23T21:44:31Zoai:repositorio.unesp.br:11449/23487Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:44:31Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Quantum V-algebras
title Quantum V-algebras
spellingShingle Quantum V-algebras
Gomes, J. F.
title_short Quantum V-algebras
title_full Quantum V-algebras
title_fullStr Quantum V-algebras
title_full_unstemmed Quantum V-algebras
title_sort Quantum V-algebras
author Gomes, J. F.
author_facet Gomes, J. F.
Da Silveira, FEM
Zimerman, A. H.
Sotkov, G. M.
author_role author
author2 Da Silveira, FEM
Zimerman, A. H.
Sotkov, G. M.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Gomes, J. F.
Da Silveira, FEM
Zimerman, A. H.
Sotkov, G. M.
description The problem of the classification of the extensions of the Virasoro algebra is discussed. It is shown that all H-reduced G(r)-current algebras belong to one of the following basic algebraic structures: local quadratic W-algebras, rational U-algebras, nonlocal W-algebras, nonlocal quadratic WV-algebras and rational nonlocal UV-algebras. The main new features of the quantum Ir-algebras and their heighest weight representations are demonstrated on the example of the quantum V-3((1,1))-algebra.
publishDate 2000
dc.date.none.fl_str_mv 2000-01-01
2014-05-20T14:06:54Z
2014-05-20T14:06:54Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://link.springer.com/book/10.1007%2F978-94-011-0990-1
Nonassociative Algebra and Its Applications. New York: Marcel Dekker, v. 211, p. 417-437, 2000.
0075-8469
http://hdl.handle.net/11449/23487
WOS:000168477500037
9287776078149551
8215976645016606
url http://link.springer.com/book/10.1007%2F978-94-011-0990-1
http://hdl.handle.net/11449/23487
identifier_str_mv Nonassociative Algebra and Its Applications. New York: Marcel Dekker, v. 211, p. 417-437, 2000.
0075-8469
WOS:000168477500037
9287776078149551
8215976645016606
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nonassociative Algebra and Its Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 417-437
dc.publisher.none.fl_str_mv Marcel Dekker
publisher.none.fl_str_mv Marcel Dekker
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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