On minimal faithful representations of a class of nilpotent lie algebras

Autores
Alvarez, María Alejandra; Rojas, Nadina Elizabeth
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we consider 2-step nilradicals of parabolic subalgebras of the simple Lie algebra An and describe a new family of faithful nil-representations of the nilradicals na,c, a, c ∈ N. We obtain a sharp upper bound for the minimal dimension µ(na,c ) and for several pairs (a, c) we obtain µ(na,c ).
Fil: Alvarez, María Alejandra. Universidad de Antofagasta; Chile
Fil: Rojas, Nadina Elizabeth. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba; Argentina
Materia
MINIMAL FAITHFUL REPRESENTATION
NILPOTENT LIE ALGEBRAS
NILRADICALS
NILREPRESENTATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/172731
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/172731
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On minimal faithful representations of a class of nilpotent lie algebrasAlvarez, María AlejandraRojas, Nadina ElizabethMINIMAL FAITHFUL REPRESENTATIONNILPOTENT LIE ALGEBRASNILRADICALSNILREPRESENTATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work we consider 2-step nilradicals of parabolic subalgebras of the simple Lie algebra An and describe a new family of faithful nil-representations of the nilradicals na,c, a, c ∈ N. We obtain a sharp upper bound for the minimal dimension µ(na,c ) and for several pairs (a, c) we obtain µ(na,c ).Fil: Alvarez, María Alejandra. Universidad de Antofagasta; ChileFil: Rojas, Nadina Elizabeth. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba; ArgentinaUniv Nis2021-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/172731Alvarez, María Alejandra; Rojas, Nadina Elizabeth; On minimal faithful representations of a class of nilpotent lie algebras; Univ Nis; Filomat; 35; 5; 11-2021; 1671-16860354-51802406-0933CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.2298/FIL2105671Ainfo:eu-repo/semantics/altIdentifier/url/http://www.doiserbia.nb.rs/Article.aspx?ID=0354-51802105671A#.Y0bQxnZBwdUinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:35:56Zoai:ri.conicet.gov.ar:11336/172731instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-05 10:35:56.636CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On minimal faithful representations of a class of nilpotent lie algebras
title On minimal faithful representations of a class of nilpotent lie algebras
spellingShingle On minimal faithful representations of a class of nilpotent lie algebras
Alvarez, María Alejandra
MINIMAL FAITHFUL REPRESENTATION
NILPOTENT LIE ALGEBRAS
NILRADICALS
NILREPRESENTATION
title_short On minimal faithful representations of a class of nilpotent lie algebras
title_full On minimal faithful representations of a class of nilpotent lie algebras
title_fullStr On minimal faithful representations of a class of nilpotent lie algebras
title_full_unstemmed On minimal faithful representations of a class of nilpotent lie algebras
title_sort On minimal faithful representations of a class of nilpotent lie algebras
dc.creator.none.fl_str_mv Alvarez, María Alejandra
Rojas, Nadina Elizabeth
author Alvarez, María Alejandra
author_facet Alvarez, María Alejandra
Rojas, Nadina Elizabeth
author_role author
author2 Rojas, Nadina Elizabeth
author2_role author
dc.subject.none.fl_str_mv MINIMAL FAITHFUL REPRESENTATION
NILPOTENT LIE ALGEBRAS
NILRADICALS
NILREPRESENTATION
topic MINIMAL FAITHFUL REPRESENTATION
NILPOTENT LIE ALGEBRAS
NILRADICALS
NILREPRESENTATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work we consider 2-step nilradicals of parabolic subalgebras of the simple Lie algebra An and describe a new family of faithful nil-representations of the nilradicals na,c, a, c ∈ N. We obtain a sharp upper bound for the minimal dimension µ(na,c ) and for several pairs (a, c) we obtain µ(na,c ).
Fil: Alvarez, María Alejandra. Universidad de Antofagasta; Chile
Fil: Rojas, Nadina Elizabeth. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba; Argentina
description In this work we consider 2-step nilradicals of parabolic subalgebras of the simple Lie algebra An and describe a new family of faithful nil-representations of the nilradicals na,c, a, c ∈ N. We obtain a sharp upper bound for the minimal dimension µ(na,c ) and for several pairs (a, c) we obtain µ(na,c ).
publishDate 2021
dc.date.none.fl_str_mv 2021-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/172731
Alvarez, María Alejandra; Rojas, Nadina Elizabeth; On minimal faithful representations of a class of nilpotent lie algebras; Univ Nis; Filomat; 35; 5; 11-2021; 1671-1686
0354-5180
2406-0933
CONICET Digital
CONICET
url http://hdl.handle.net/11336/172731
identifier_str_mv Alvarez, María Alejandra; Rojas, Nadina Elizabeth; On minimal faithful representations of a class of nilpotent lie algebras; Univ Nis; Filomat; 35; 5; 11-2021; 1671-1686
0354-5180
2406-0933
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.2298/FIL2105671A
info:eu-repo/semantics/altIdentifier/url/http://www.doiserbia.nb.rs/Article.aspx?ID=0354-51802105671A#.Y0bQxnZBwdU
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Univ Nis
publisher.none.fl_str_mv Univ Nis
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.087074

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