Multiplicity formulas for fundamental strings of representations of classical Lie algebras

Autores
Lauret, Emilio Agustin; Rossi Bertone, Fiorela
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We call the p-fundamental string of a complex simple Lie algebra to the sequence of irreducible representations having highest weights of the form kω1 +ωp for k ≥ 0, where ωj denotes the jth fundamental weight of the associated root system. For a classical complex Lie algebra, we establish a closed explicit formula for the weight multiplicities of any representation in any p-fundamental string.
Fil: Lauret, Emilio Agustin. 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. Humboldt Universität zu Berlin; Alemania
Fil: Rossi Bertone, Fiorela. 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
WEIGHT MULTIPLICITY FORMULA
FUNDAMENTAL STRING
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:11336/59966
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Multiplicity formulas for fundamental strings of representations of classical Lie algebrasLauret, Emilio AgustinRossi Bertone, FiorelaWEIGHT MULTIPLICITY FORMULAFUNDAMENTAL STRINGhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We call the p-fundamental string of a complex simple Lie algebra to the sequence of irreducible representations having highest weights of the form kω1 +ωp for k ≥ 0, where ωj denotes the jth fundamental weight of the associated root system. For a classical complex Lie algebra, we establish a closed explicit formula for the weight multiplicities of any representation in any p-fundamental string.Fil: Lauret, Emilio Agustin. 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. Humboldt Universität zu Berlin; AlemaniaFil: Rossi Bertone, Fiorela. 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; ArgentinaAmerican Institute of Physics2017-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/59966Lauret, Emilio Agustin; Rossi Bertone, Fiorela; Multiplicity formulas for fundamental strings of representations of classical Lie algebras; American Institute of Physics; Journal of Mathematical Physics; 58; 11; 11-2017; 1-15; 1117030022-2488CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://aip.scitation.org/doi/10.1063/1.4993851info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4993851info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:34:25Zoai:ri.conicet.gov.ar:11336/59966instacron: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:34982025-09-29 09:34:26.151CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Multiplicity formulas for fundamental strings of representations of classical Lie algebras
title Multiplicity formulas for fundamental strings of representations of classical Lie algebras
spellingShingle Multiplicity formulas for fundamental strings of representations of classical Lie algebras
Lauret, Emilio Agustin
WEIGHT MULTIPLICITY FORMULA
FUNDAMENTAL STRING
title_short Multiplicity formulas for fundamental strings of representations of classical Lie algebras
title_full Multiplicity formulas for fundamental strings of representations of classical Lie algebras
title_fullStr Multiplicity formulas for fundamental strings of representations of classical Lie algebras
title_full_unstemmed Multiplicity formulas for fundamental strings of representations of classical Lie algebras
title_sort Multiplicity formulas for fundamental strings of representations of classical Lie algebras
dc.creator.none.fl_str_mv Lauret, Emilio Agustin
Rossi Bertone, Fiorela
author Lauret, Emilio Agustin
author_facet Lauret, Emilio Agustin
Rossi Bertone, Fiorela
author_role author
author2 Rossi Bertone, Fiorela
author2_role author
dc.subject.none.fl_str_mv WEIGHT MULTIPLICITY FORMULA
FUNDAMENTAL STRING
topic WEIGHT MULTIPLICITY FORMULA
FUNDAMENTAL STRING
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We call the p-fundamental string of a complex simple Lie algebra to the sequence of irreducible representations having highest weights of the form kω1 +ωp for k ≥ 0, where ωj denotes the jth fundamental weight of the associated root system. For a classical complex Lie algebra, we establish a closed explicit formula for the weight multiplicities of any representation in any p-fundamental string.
Fil: Lauret, Emilio Agustin. 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. Humboldt Universität zu Berlin; Alemania
Fil: Rossi Bertone, Fiorela. 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 We call the p-fundamental string of a complex simple Lie algebra to the sequence of irreducible representations having highest weights of the form kω1 +ωp for k ≥ 0, where ωj denotes the jth fundamental weight of the associated root system. For a classical complex Lie algebra, we establish a closed explicit formula for the weight multiplicities of any representation in any p-fundamental string.
publishDate 2017
dc.date.none.fl_str_mv 2017-11
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/11336/59966
Lauret, Emilio Agustin; Rossi Bertone, Fiorela; Multiplicity formulas for fundamental strings of representations of classical Lie algebras; American Institute of Physics; Journal of Mathematical Physics; 58; 11; 11-2017; 1-15; 111703
0022-2488
CONICET Digital
CONICET
url http://hdl.handle.net/11336/59966
identifier_str_mv Lauret, Emilio Agustin; Rossi Bertone, Fiorela; Multiplicity formulas for fundamental strings of representations of classical Lie algebras; American Institute of Physics; Journal of Mathematical Physics; 58; 11; 11-2017; 1-15; 111703
0022-2488
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://aip.scitation.org/doi/10.1063/1.4993851
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4993851
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 American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
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 13.070432

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