Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras

In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified. Moreover, non-split central extensions of naturally graded filiform non-Lie Leibniz algebras are described up to isomorp...

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Detalhes bibliográficos
Autores: Adashev, J.Q., Camacho Santana, Luisa María, Omirov, Bakhrom Abdazovich
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2017
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/89935
Acesso em linha:https://hdl.handle.net/11441/89935
https://doi.org/10.1016/j.jalgebra.2017.02.003
Access Level:acceso abierto
Palavra-chave:Leibniz algebra
Filiform algebra
Quasi-filiform algebra
Natural gradation
Characteristic sequence
2-cocycles
Central extension
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spelling Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebrasAdashev, J.Q.Camacho Santana, Luisa MaríaOmirov, Bakhrom AbdazovichLeibniz algebraFiliform algebraQuasi-filiform algebraNatural gradationCharacteristic sequence2-cocyclesCentral extensionIn this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified. Moreover, non-split central extensions of naturally graded filiform non-Lie Leibniz algebras are described up to isomorphism. It is shown that k-dimensional central extensions (k 5) of these algebras are split.Ministerio de Economía y Competitividad MTM2013-43687-PElsevierMatemática Aplicada I2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/89935https://doi.org/10.1016/j.jalgebra.2017.02.003reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Algebra, 479 (june 2017), 461-486.MTM2013-43687-Phttps://www.sciencedirect.com/science/article/pii/S0021869317300959info:eu-repo/semantics/openAccessoai:idus.us.es:11441/899352026-06-17T12:51:07Z
dc.title.none.fl_str_mv Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
title Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
spellingShingle Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
Adashev, J.Q.
Leibniz algebra
Filiform algebra
Quasi-filiform algebra
Natural gradation
Characteristic sequence
2-cocycles
Central extension
title_short Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
title_full Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
title_fullStr Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
title_full_unstemmed Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
title_sort Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
dc.creator.none.fl_str_mv Adashev, J.Q.
Camacho Santana, Luisa María
Omirov, Bakhrom Abdazovich
author Adashev, J.Q.
author_facet Adashev, J.Q.
Camacho Santana, Luisa María
Omirov, Bakhrom Abdazovich
author_role author
author2 Camacho Santana, Luisa María
Omirov, Bakhrom Abdazovich
author2_role author
author
dc.contributor.none.fl_str_mv Matemática Aplicada I
dc.subject.none.fl_str_mv Leibniz algebra
Filiform algebra
Quasi-filiform algebra
Natural gradation
Characteristic sequence
2-cocycles
Central extension
topic Leibniz algebra
Filiform algebra
Quasi-filiform algebra
Natural gradation
Characteristic sequence
2-cocycles
Central extension
description In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified. Moreover, non-split central extensions of naturally graded filiform non-Lie Leibniz algebras are described up to isomorphism. It is shown that k-dimensional central extensions (k 5) of these algebras are split.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/89935
https://doi.org/10.1016/j.jalgebra.2017.02.003
url https://hdl.handle.net/11441/89935
https://doi.org/10.1016/j.jalgebra.2017.02.003
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Algebra, 479 (june 2017), 461-486.
MTM2013-43687-P
https://www.sciencedirect.com/science/article/pii/S0021869317300959
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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