Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S

Autores
Boyallian, Carina; Meinardi, Vanesa Beatriz
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In the present paper, we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras Sn and continuous representations of the Lie algebra of Cartan type S, on which some two-sided ideal acts trivially.
Fil: Boyallian, Carina. 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
Fil: Meinardi, Vanesa Beatriz. 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
Materia
LINEARLY COMPACT N -LIE SUPERALGEBRA
REPRESENTATION THEORY OF N -LIE ALGEBRA
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:11336/89291
Acceder
id CONICETDig_9b75939125cd414a7c8e2fcea6049aea
oai_identifier_str oai:ri.conicet.gov.ar:11336/89291
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type SBoyallian, CarinaMeinardi, Vanesa BeatrizLINEARLY COMPACT N -LIE SUPERALGEBRAREPRESENTATION THEORY OF N -LIE ALGEBRAhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In the present paper, we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras Sn and continuous representations of the Lie algebra of Cartan type S, on which some two-sided ideal acts trivially.Fil: Boyallian, Carina. 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; ArgentinaFil: Meinardi, Vanesa Beatriz. 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; ArgentinaWorld Scientific2019-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/89291Boyallian, Carina; Meinardi, Vanesa Beatriz; Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S; World Scientific; Journal of Algebra and its Applications; 18; 2; 2-20190219-49881793-6829CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219498819500361info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219498819500361info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T09:36:48Zoai:ri.conicet.gov.ar:11336/89291instacron: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 09:36:48.714CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S
title Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S
spellingShingle Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S
Boyallian, Carina
LINEARLY COMPACT N -LIE SUPERALGEBRA
REPRESENTATION THEORY OF N -LIE ALGEBRA
title_short Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S
title_full Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S
title_fullStr Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S
title_full_unstemmed Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S
title_sort Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S
dc.creator.none.fl_str_mv Boyallian, Carina
Meinardi, Vanesa Beatriz
author Boyallian, Carina
author_facet Boyallian, Carina
Meinardi, Vanesa Beatriz
author_role author
author2 Meinardi, Vanesa Beatriz
author2_role author
dc.subject.none.fl_str_mv LINEARLY COMPACT N -LIE SUPERALGEBRA
REPRESENTATION THEORY OF N -LIE ALGEBRA
topic LINEARLY COMPACT N -LIE SUPERALGEBRA
REPRESENTATION THEORY OF N -LIE ALGEBRA
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 the present paper, we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras Sn and continuous representations of the Lie algebra of Cartan type S, on which some two-sided ideal acts trivially.
Fil: Boyallian, Carina. 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
Fil: Meinardi, Vanesa Beatriz. 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
description In the present paper, we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras Sn and continuous representations of the Lie algebra of Cartan type S, on which some two-sided ideal acts trivially.
publishDate 2019
dc.date.none.fl_str_mv 2019-02
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/11336/89291
Boyallian, Carina; Meinardi, Vanesa Beatriz; Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S; World Scientific; Journal of Algebra and its Applications; 18; 2; 2-2019
0219-4988
1793-6829
CONICET Digital
CONICET
url http://hdl.handle.net/11336/89291
identifier_str_mv Boyallian, Carina; Meinardi, Vanesa Beatriz; Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S; World Scientific; Journal of Algebra and its Applications; 18; 2; 2-2019
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/url/https://www.worldscientific.com/doi/abs/10.1142/S0219498819500361
info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219498819500361
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
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_ 1847976827682816000
score 13.087074

Publicaciones similares