Representations of simple noncommutative Jordan superalgebras I

Detalhes bibliográficos
Autor(a) principal: Popov, Yuri, 1993-
Data de Publicação: 2020
Tipo de documento: Artigo
Título da fonte: Repositório da Produção Científica e Intelectual da Unicamp
Texto Completo: https://hdl.handle.net/20.500.12733/1669126
Resumo: Agradecimentos: The author is grateful to Prof. Alexandre Pozhidaev (Sobolev Institute of Math., Russia) and Prof. Ivan Kaygorodov (UFABC, Brazil) for interest and constructive comments
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spelling Representations of simple noncommutative Jordan superalgebras IÁlgebras de JordanMódulos de KroneckerJordan algebrasKronecker modulesNoncommutative Jordan superalgebraRepresentation theory of nonassociative superalgebrasArtigo originalAgradecimentos: The author is grateful to Prof. Alexandre Pozhidaev (Sobolev Institute of Math., Russia) and Prof. Ivan Kaygorodov (UFABC, Brazil) for interest and constructive commentsAbstract: In this article we begin the study of representations of simple finite-dimensional noncommutative Jordan superalgebras. In the case of degree =3 we show that any finite-dimensional representation is completely reducible and, depending on the superalgebra, quasiassociative or Jordan. Then we study representations of superalgebras and and prove the Kronecker factorization theorem for superalgebras . In the last section we use a new approach to study noncommutative Jordan representations of simple Jordan superalgebrasFechadoUNIVERSIDADE ESTADUAL DE CAMPINASPopov, Yuri, 1993-2020info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.12733/1669126POPOV, Yuri. Representations of simple noncommutative Jordan superalgebras I. Journal of Algebra. Maryland Heights, MO : Elsevier, 2020.. Vol. 544 (Feb., 2020), p. 329-390. Disponível em: https://hdl.handle.net/20.500.12733/1669126. Acesso em: 24 mai. 2023.Inglêshttps://repositorio.unicamp.br/acervo/detalhe/1224516reponame:Repositório da Produção Científica e Intelectual da Unicampinstname:Universidade Estadual de Campinas (UNICAMP)instacron:UNICAMPinfo:eu-repo/semantics/openAccess2022-02-25T14:23:49Zoai:https://www.repositorio.unicamp.br/:1224516Repositório InstitucionalPUBhttp://repositorio.unicamp.br/oai/requestreposip@unicamp.bropendoar:2022-02-25T14:23:49Repositório da Produção Científica e Intelectual da Unicamp - Universidade Estadual de Campinas (UNICAMP)false
dc.title.none.fl_str_mv Representations of simple noncommutative Jordan superalgebras I
title Representations of simple noncommutative Jordan superalgebras I
spellingShingle Representations of simple noncommutative Jordan superalgebras I
Popov, Yuri, 1993-
Álgebras de Jordan
Módulos de Kronecker
Jordan algebras
Kronecker modules
Noncommutative Jordan superalgebra
Representation theory of nonassociative superalgebras
Artigo original
title_short Representations of simple noncommutative Jordan superalgebras I
title_full Representations of simple noncommutative Jordan superalgebras I
title_fullStr Representations of simple noncommutative Jordan superalgebras I
title_full_unstemmed Representations of simple noncommutative Jordan superalgebras I
title_sort Representations of simple noncommutative Jordan superalgebras I
author Popov, Yuri, 1993-
author_facet Popov, Yuri, 1993-
author_role author
dc.contributor.none.fl_str_mv UNIVERSIDADE ESTADUAL DE CAMPINAS
dc.contributor.author.fl_str_mv Popov, Yuri, 1993-
dc.subject.por.fl_str_mv Álgebras de Jordan
Módulos de Kronecker
Jordan algebras
Kronecker modules
Noncommutative Jordan superalgebra
Representation theory of nonassociative superalgebras
Artigo original
topic Álgebras de Jordan
Módulos de Kronecker
Jordan algebras
Kronecker modules
Noncommutative Jordan superalgebra
Representation theory of nonassociative superalgebras
Artigo original
description Agradecimentos: The author is grateful to Prof. Alexandre Pozhidaev (Sobolev Institute of Math., Russia) and Prof. Ivan Kaygorodov (UFABC, Brazil) for interest and constructive comments
publishDate 2020
dc.date.none.fl_str_mv 2020
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/20.500.12733/1669126
POPOV, Yuri. Representations of simple noncommutative Jordan superalgebras I. Journal of Algebra. Maryland Heights, MO : Elsevier, 2020.. Vol. 544 (Feb., 2020), p. 329-390. Disponível em: https://hdl.handle.net/20.500.12733/1669126. Acesso em: 24 mai. 2023.
url https://hdl.handle.net/20.500.12733/1669126
identifier_str_mv POPOV, Yuri. Representations of simple noncommutative Jordan superalgebras I. Journal of Algebra. Maryland Heights, MO : Elsevier, 2020.. Vol. 544 (Feb., 2020), p. 329-390. Disponível em: https://hdl.handle.net/20.500.12733/1669126. Acesso em: 24 mai. 2023.
dc.language.iso.fl_str_mv Inglês
language_invalid_str_mv Inglês
dc.relation.none.fl_str_mv https://repositorio.unicamp.br/acervo/detalhe/1224516
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 da Produção Científica e Intelectual da Unicamp
instname:Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
instname_str Universidade Estadual de Campinas (UNICAMP)
instacron_str UNICAMP
institution UNICAMP
reponame_str Repositório da Produção Científica e Intelectual da Unicamp
collection Repositório da Produção Científica e Intelectual da Unicamp
repository.name.fl_str_mv Repositório da Produção Científica e Intelectual da Unicamp - Universidade Estadual de Campinas (UNICAMP)
repository.mail.fl_str_mv reposip@unicamp.br
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