The Jordan structure of Lie and Kac-Moody algebras

Detalhes bibliográficos
Autor(a) principal: Ferreira, L. A.
Data de Publicação: 1992
Outros Autores: Gomes, J. F., Sobrinho, P. Teotonio, Zimerman, A. H.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
DOI: 10.1088/0305-4470/25/19/019
Texto Completo: http://dx.doi.org/10.1088/0305-4470/25/19/019
http://hdl.handle.net/11449/231059
Resumo: The authors establish a precise relation between the structures of Lie and Jordan algebras by presenting a method of constructing one type of algebra from the other. The examples of the Lie algebras associated to simple Jordan algebras Mm(n) and Clifford algebras are discussed in detail. The generalization of such arguments to infinite-dimensional Lie algebras in terms of Fermi fields is also discussed.
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spelling The Jordan structure of Lie and Kac-Moody algebrasThe authors establish a precise relation between the structures of Lie and Jordan algebras by presenting a method of constructing one type of algebra from the other. The examples of the Lie algebras associated to simple Jordan algebras Mm(n) and Clifford algebras are discussed in detail. The generalization of such arguments to infinite-dimensional Lie algebras in terms of Fermi fields is also discussed.Inst. de Fisica Teorica, Sao PauloInst. de Fisica TeoricaFerreira, L. A.Gomes, J. F.Sobrinho, P. TeotonioZimerman, A. H.2022-04-29T08:43:23Z2022-04-29T08:43:23Z1992-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article5071-5088http://dx.doi.org/10.1088/0305-4470/25/19/019Journal of Physics A: Mathematical and General, v. 25, n. 19, p. 5071-5088, 1992.0305-4470http://hdl.handle.net/11449/23105910.1088/0305-4470/25/19/0192-s2.0-36149035475Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics A: Mathematical and Generalinfo:eu-repo/semantics/openAccess2022-04-29T08:43:24Zoai:repositorio.unesp.br:11449/231059Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:09:17.843557Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The Jordan structure of Lie and Kac-Moody algebras
title The Jordan structure of Lie and Kac-Moody algebras
spellingShingle The Jordan structure of Lie and Kac-Moody algebras
The Jordan structure of Lie and Kac-Moody algebras
Ferreira, L. A.
Ferreira, L. A.
title_short The Jordan structure of Lie and Kac-Moody algebras
title_full The Jordan structure of Lie and Kac-Moody algebras
title_fullStr The Jordan structure of Lie and Kac-Moody algebras
The Jordan structure of Lie and Kac-Moody algebras
title_full_unstemmed The Jordan structure of Lie and Kac-Moody algebras
The Jordan structure of Lie and Kac-Moody algebras
title_sort The Jordan structure of Lie and Kac-Moody algebras
author Ferreira, L. A.
author_facet Ferreira, L. A.
Ferreira, L. A.
Gomes, J. F.
Sobrinho, P. Teotonio
Zimerman, A. H.
Gomes, J. F.
Sobrinho, P. Teotonio
Zimerman, A. H.
author_role author
author2 Gomes, J. F.
Sobrinho, P. Teotonio
Zimerman, A. H.
author2_role author
author
author
dc.contributor.none.fl_str_mv Inst. de Fisica Teorica
dc.contributor.author.fl_str_mv Ferreira, L. A.
Gomes, J. F.
Sobrinho, P. Teotonio
Zimerman, A. H.
description The authors establish a precise relation between the structures of Lie and Jordan algebras by presenting a method of constructing one type of algebra from the other. The examples of the Lie algebras associated to simple Jordan algebras Mm(n) and Clifford algebras are discussed in detail. The generalization of such arguments to infinite-dimensional Lie algebras in terms of Fermi fields is also discussed.
publishDate 1992
dc.date.none.fl_str_mv 1992-12-01
2022-04-29T08:43:23Z
2022-04-29T08:43:23Z
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 http://dx.doi.org/10.1088/0305-4470/25/19/019
Journal of Physics A: Mathematical and General, v. 25, n. 19, p. 5071-5088, 1992.
0305-4470
http://hdl.handle.net/11449/231059
10.1088/0305-4470/25/19/019
2-s2.0-36149035475
url http://dx.doi.org/10.1088/0305-4470/25/19/019
http://hdl.handle.net/11449/231059
identifier_str_mv Journal of Physics A: Mathematical and General, v. 25, n. 19, p. 5071-5088, 1992.
0305-4470
10.1088/0305-4470/25/19/019
2-s2.0-36149035475
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Physics A: Mathematical and General
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 5071-5088
dc.source.none.fl_str_mv Scopus
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
_version_ 1822182411569463296
dc.identifier.doi.none.fl_str_mv 10.1088/0305-4470/25/19/019

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