Solvable Leibniz algebras with NFn⊕ F1m nilradical

All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ F1m as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described. NFn and F1m are the null-filiform and naturally graded filiform Leibniz algebras of dimensions n and m, respectively. Moreover, we sh...

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Autores: Camacho Santana, Luisa María, Omirov, Bakhrom Abdazovich, Masutova, K. K., Rikhsiboev, Ikrom M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/94368
Acceso en línea:https://hdl.handle.net/11441/94368
https://doi.org/10.1515/math-2017-0115
Access Level:acceso abierto
Palabra clave:Lie algebra
Leibniz algebra
Natural gradation
Null-filiform algebra
Filiform algebra
Solvability
Nilpotence
Nilradical
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spelling Solvable Leibniz algebras with NFn⊕ F1m nilradicalCamacho Santana, Luisa MaríaOmirov, Bakhrom AbdazovichMasutova, K. K.Rikhsiboev, Ikrom M.Lie algebraLeibniz algebraNatural gradationNull-filiform algebraFiliform algebraSolvabilityNilpotenceNilradicalAll finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ F1m as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described. NFn and F1m are the null-filiform and naturally graded filiform Leibniz algebras of dimensions n and m, respectively. Moreover, we show that these algebras are rigid.De GruyterMatemática Aplicada IFQM-298: Anillos Asociados a Modelos CuánticosMinisterio de Economía y Competitividad (MINECO). EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)Ministry of Education and Science of the Republic of KazakhstanFundamental Research Grant (Malaysia)2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/94368https://doi.org/10.1515/math-2017-0115reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésOpen Mathematics, 15 (1), 1371-1388.MTM2016-79661-P0828/GF4FRGS/1/2016/STG06/UNIKL/02/1https://www.degruyter.com/downloadpdf/j/math.2017.15.issue-1/math-2017-0115/math-2017-0115.pdfinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/943682026-06-17T12:51:07Z
dc.title.none.fl_str_mv Solvable Leibniz algebras with NFn⊕ F1m nilradical
title Solvable Leibniz algebras with NFn⊕ F1m nilradical
spellingShingle Solvable Leibniz algebras with NFn⊕ F1m nilradical
Camacho Santana, Luisa María
Lie algebra
Leibniz algebra
Natural gradation
Null-filiform algebra
Filiform algebra
Solvability
Nilpotence
Nilradical
title_short Solvable Leibniz algebras with NFn⊕ F1m nilradical
title_full Solvable Leibniz algebras with NFn⊕ F1m nilradical
title_fullStr Solvable Leibniz algebras with NFn⊕ F1m nilradical
title_full_unstemmed Solvable Leibniz algebras with NFn⊕ F1m nilradical
title_sort Solvable Leibniz algebras with NFn⊕ F1m nilradical
dc.creator.none.fl_str_mv Camacho Santana, Luisa María
Omirov, Bakhrom Abdazovich
Masutova, K. K.
Rikhsiboev, Ikrom M.
author Camacho Santana, Luisa María
author_facet Camacho Santana, Luisa María
Omirov, Bakhrom Abdazovich
Masutova, K. K.
Rikhsiboev, Ikrom M.
author_role author
author2 Omirov, Bakhrom Abdazovich
Masutova, K. K.
Rikhsiboev, Ikrom M.
author2_role author
author
author
dc.contributor.none.fl_str_mv Matemática Aplicada I
FQM-298: Anillos Asociados a Modelos Cuánticos
Ministerio de Economía y Competitividad (MINECO). España
European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)
Ministry of Education and Science of the Republic of Kazakhstan
Fundamental Research Grant (Malaysia)
dc.subject.none.fl_str_mv Lie algebra
Leibniz algebra
Natural gradation
Null-filiform algebra
Filiform algebra
Solvability
Nilpotence
Nilradical
topic Lie algebra
Leibniz algebra
Natural gradation
Null-filiform algebra
Filiform algebra
Solvability
Nilpotence
Nilradical
description All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ F1m as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described. NFn and F1m are the null-filiform and naturally graded filiform Leibniz algebras of dimensions n and m, respectively. Moreover, we show that these algebras are rigid.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/94368
https://doi.org/10.1515/math-2017-0115
url https://hdl.handle.net/11441/94368
https://doi.org/10.1515/math-2017-0115
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Open Mathematics, 15 (1), 1371-1388.
MTM2016-79661-P
0828/GF4
FRGS/1/2016/STG06/UNIKL/02/1
https://www.degruyter.com/downloadpdf/j/math.2017.15.issue-1/math-2017-0115/math-2017-0115.pdf
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 De Gruyter
publisher.none.fl_str_mv De Gruyter
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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