Minimal representations for 6-dimensional nilpotent Lie algebra

Autores
Rojas, Nadina Elizabeth
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Given a Lie algebra , let μ(g) and μnil(g) be the minimal dimension of a faithful representation and nilrepresentation of , respectively. In this paper, we give μ(g) and μnil(g) for each nilpotent Lie algebra of dimension 6 over a field of characteristic zero. We also give a minimal faithful representation and nilrepresentation in each case.
Fil: Rojas, Nadina Elizabeth. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
ADO'S THEOREM
MINIMAL FAITHFUL REPRESENTATION
NILPOTENT LIE ALGEBRAS
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:11336/59910
Acceder
id CONICETDig_fdb6d71437724dfcd420be60c77f3093
oai_identifier_str oai:ri.conicet.gov.ar:11336/59910
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Minimal representations for 6-dimensional nilpotent Lie algebraRojas, Nadina ElizabethADO'S THEOREMMINIMAL FAITHFUL REPRESENTATIONNILPOTENT LIE ALGEBRASNILREPRESENTATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Given a Lie algebra , let μ(g) and μnil(g) be the minimal dimension of a faithful representation and nilrepresentation of , respectively. In this paper, we give μ(g) and μnil(g) for each nilpotent Lie algebra of dimension 6 over a field of characteristic zero. We also give a minimal faithful representation and nilrepresentation in each case.Fil: Rojas, Nadina Elizabeth. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaWorld Scientific2016-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/59910Rojas, Nadina Elizabeth; Minimal representations for 6-dimensional nilpotent Lie algebra; World Scientific; Journal of Algebra and its Applications; 15; 10; 12-20160219-49881793-6829CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S0219498816501917info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219498816501917info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:02:20Zoai:ri.conicet.gov.ar:11336/59910instacron: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:34982025-09-03 10:02:20.696CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Minimal representations for 6-dimensional nilpotent Lie algebra
title Minimal representations for 6-dimensional nilpotent Lie algebra
spellingShingle Minimal representations for 6-dimensional nilpotent Lie algebra
Rojas, Nadina Elizabeth
ADO'S THEOREM
MINIMAL FAITHFUL REPRESENTATION
NILPOTENT LIE ALGEBRAS
NILREPRESENTATION
title_short Minimal representations for 6-dimensional nilpotent Lie algebra
title_full Minimal representations for 6-dimensional nilpotent Lie algebra
title_fullStr Minimal representations for 6-dimensional nilpotent Lie algebra
title_full_unstemmed Minimal representations for 6-dimensional nilpotent Lie algebra
title_sort Minimal representations for 6-dimensional nilpotent Lie algebra
dc.creator.none.fl_str_mv Rojas, Nadina Elizabeth
author Rojas, Nadina Elizabeth
author_facet Rojas, Nadina Elizabeth
author_role author
dc.subject.none.fl_str_mv ADO'S THEOREM
MINIMAL FAITHFUL REPRESENTATION
NILPOTENT LIE ALGEBRAS
NILREPRESENTATION
topic ADO'S THEOREM
MINIMAL FAITHFUL REPRESENTATION
NILPOTENT LIE ALGEBRAS
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 Given a Lie algebra , let μ(g) and μnil(g) be the minimal dimension of a faithful representation and nilrepresentation of , respectively. In this paper, we give μ(g) and μnil(g) for each nilpotent Lie algebra of dimension 6 over a field of characteristic zero. We also give a minimal faithful representation and nilrepresentation in each case.
Fil: Rojas, Nadina Elizabeth. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description Given a Lie algebra , let μ(g) and μnil(g) be the minimal dimension of a faithful representation and nilrepresentation of , respectively. In this paper, we give μ(g) and μnil(g) for each nilpotent Lie algebra of dimension 6 over a field of characteristic zero. We also give a minimal faithful representation and nilrepresentation in each case.
publishDate 2016
dc.date.none.fl_str_mv 2016-12
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/11336/59910
Rojas, Nadina Elizabeth; Minimal representations for 6-dimensional nilpotent Lie algebra; World Scientific; Journal of Algebra and its Applications; 15; 10; 12-2016
0219-4988
1793-6829
CONICET Digital
CONICET
url http://hdl.handle.net/11336/59910
identifier_str_mv Rojas, Nadina Elizabeth; Minimal representations for 6-dimensional nilpotent Lie algebra; World Scientific; Journal of Algebra and its Applications; 15; 10; 12-2016
0219-4988
1793-6829
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219498816501917
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219498816501917
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 World Scientific
publisher.none.fl_str_mv World Scientific
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
_version_ 1842269751761436672
score 13.13397

Publicaciones similares