Residually solvable extensions of pro-nilpotent Leibniz superalgebras

Throughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones, or so-called residually solvable Leibniz superalgebras. Prior to that, we improve the solvable extension method for the...

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Autores: Camacho Santana, Luisa María, Navarro, Rosa María, Omirov, Bakhrom Abdazovich
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/134955
Acceso en línea:https://hdl.handle.net/11441/134955
https://doi.org/10.1016/j.geomphys.2021.104414
Access Level:acceso abierto
Palabra clave:Solvable Lie superalgebras
Solvable Leibniz superalgebras
Residually solvable Leibniz algebra
Pro-nilpotent superalgebra
Superderivation
Residually nilpotent superderivation
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spelling Residually solvable extensions of pro-nilpotent Leibniz superalgebrasCamacho Santana, Luisa MaríaNavarro, Rosa MaríaOmirov, Bakhrom AbdazovichSolvable Lie superalgebrasSolvable Leibniz superalgebrasResidually solvable Leibniz algebraPro-nilpotent superalgebraSuperderivationResidually nilpotent superderivationThroughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones, or so-called residually solvable Leibniz superalgebras. Prior to that, we improve the solvable extension method for the finite-dimensional case obtaining new and important results. Additionally, we fully determine the residually solvable Lie and Leibniz superalgebras with maximal codimension of pro-nilpotent ideals the model filiform Lie and null filiform Leibniz superalgebras, respectively. Moreover, we prove that the residually solvable superalgebras obtained are complete.Agencia Estatal de Investigación PID2020-115155GB-I00Junta de Andalucía FEDER-UCA18-107643Junta de Extremadura GR18001Junta de Extremadura IB18032ElsevierMatemática Aplicada IFQM-298: Anillos Asociados a modelos cuánticosAgencia Estatal de Investigación. EspañaJunta de AndalucíaJunta de Extremadura2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/134955https://doi.org/10.1016/j.geomphys.2021.104414reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Geometry and Physics, 172 (February 2022, art. nº104414)PID2020-115155GB-I00FEDER-UCA18-107643GR18001IB18032https://www.sciencedirect.com/science/article/pii/S0393044021002606?via%3Dihubinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/1349552026-06-17T12:51:07Z
dc.title.none.fl_str_mv Residually solvable extensions of pro-nilpotent Leibniz superalgebras
title Residually solvable extensions of pro-nilpotent Leibniz superalgebras
spellingShingle Residually solvable extensions of pro-nilpotent Leibniz superalgebras
Camacho Santana, Luisa María
Solvable Lie superalgebras
Solvable Leibniz superalgebras
Residually solvable Leibniz algebra
Pro-nilpotent superalgebra
Superderivation
Residually nilpotent superderivation
title_short Residually solvable extensions of pro-nilpotent Leibniz superalgebras
title_full Residually solvable extensions of pro-nilpotent Leibniz superalgebras
title_fullStr Residually solvable extensions of pro-nilpotent Leibniz superalgebras
title_full_unstemmed Residually solvable extensions of pro-nilpotent Leibniz superalgebras
title_sort Residually solvable extensions of pro-nilpotent Leibniz superalgebras
dc.creator.none.fl_str_mv Camacho Santana, Luisa María
Navarro, Rosa María
Omirov, Bakhrom Abdazovich
author Camacho Santana, Luisa María
author_facet Camacho Santana, Luisa María
Navarro, Rosa María
Omirov, Bakhrom Abdazovich
author_role author
author2 Navarro, Rosa María
Omirov, Bakhrom Abdazovich
author2_role author
author
dc.contributor.none.fl_str_mv Matemática Aplicada I
FQM-298: Anillos Asociados a modelos cuánticos
Agencia Estatal de Investigación. España
Junta de Andalucía
Junta de Extremadura
dc.subject.none.fl_str_mv Solvable Lie superalgebras
Solvable Leibniz superalgebras
Residually solvable Leibniz algebra
Pro-nilpotent superalgebra
Superderivation
Residually nilpotent superderivation
topic Solvable Lie superalgebras
Solvable Leibniz superalgebras
Residually solvable Leibniz algebra
Pro-nilpotent superalgebra
Superderivation
Residually nilpotent superderivation
description Throughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones, or so-called residually solvable Leibniz superalgebras. Prior to that, we improve the solvable extension method for the finite-dimensional case obtaining new and important results. Additionally, we fully determine the residually solvable Lie and Leibniz superalgebras with maximal codimension of pro-nilpotent ideals the model filiform Lie and null filiform Leibniz superalgebras, respectively. Moreover, we prove that the residually solvable superalgebras obtained are complete.
publishDate 2022
dc.date.none.fl_str_mv 2022
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/11441/134955
https://doi.org/10.1016/j.geomphys.2021.104414
url https://hdl.handle.net/11441/134955
https://doi.org/10.1016/j.geomphys.2021.104414
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Geometry and Physics, 172 (February 2022, art. nº104414)
PID2020-115155GB-I00
FEDER-UCA18-107643
GR18001
IB18032
https://www.sciencedirect.com/science/article/pii/S0393044021002606?via%3Dihub
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 15,300719

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