Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra

Autores
Aldenhoven, Noud; Koelink, Erik; Román, Pablo Manuel
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider the quantum symmetric pair (Uq(Su(3)) , B) where B is a right coideal subalgebra. We prove that all finite-dimensional irreducible representations of B are weight representations and are characterised by their highest weight and dimension. We show that the restriction of a finite-dimensional irreducible representation of Uq(Su(3)) to B decomposes multiplicity free into irreducible representations of B. Furthermore we give explicit expressions for the highest weight vectors in this decomposition in terms of dual q-Krawtchouk polynomials.
Fil: Aldenhoven, Noud. Radboud Universiteit Nijmegen; Países Bajos
Fil: Koelink, Erik. Radboud Universiteit Nijmegen; Países Bajos
Fil: Román, Pablo Manuel. 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
BRANCHING RULES
COIDEAL SUBALGEBRAS
QUANTUM GROUPS
QUANTUM SYMMETRIC PAIRS
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:11336/59985
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/59985
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal SubalgebraAldenhoven, NoudKoelink, ErikRomán, Pablo ManuelBRANCHING RULESCOIDEAL SUBALGEBRASQUANTUM GROUPSQUANTUM SYMMETRIC PAIRShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We consider the quantum symmetric pair (Uq(Su(3)) , B) where B is a right coideal subalgebra. We prove that all finite-dimensional irreducible representations of B are weight representations and are characterised by their highest weight and dimension. We show that the restriction of a finite-dimensional irreducible representation of Uq(Su(3)) to B decomposes multiplicity free into irreducible representations of B. Furthermore we give explicit expressions for the highest weight vectors in this decomposition in terms of dual q-Krawtchouk polynomials.Fil: Aldenhoven, Noud. Radboud Universiteit Nijmegen; Países BajosFil: Koelink, Erik. Radboud Universiteit Nijmegen; Países BajosFil: Román, Pablo Manuel. 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; ArgentinaSpringer2017-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/59985Aldenhoven, Noud; Koelink, Erik; Román, Pablo Manuel; Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra; Springer; Algebras and Representation Theory; 20; 4; 8-2017; 821-8421386-923XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10468-017-9678-zinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10468-017-9678-zinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-04-15T10:04:03Zoai:ri.conicet.gov.ar:11336/59985instacron: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:34982026-04-15 10:04:03.804CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra
title Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra
spellingShingle Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra
Aldenhoven, Noud
BRANCHING RULES
COIDEAL SUBALGEBRAS
QUANTUM GROUPS
QUANTUM SYMMETRIC PAIRS
title_short Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra
title_full Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra
title_fullStr Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra
title_full_unstemmed Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra
title_sort Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra
dc.creator.none.fl_str_mv Aldenhoven, Noud
Koelink, Erik
Román, Pablo Manuel
author Aldenhoven, Noud
author_facet Aldenhoven, Noud
Koelink, Erik
Román, Pablo Manuel
author_role author
author2 Koelink, Erik
Román, Pablo Manuel
author2_role author
author
dc.subject.none.fl_str_mv BRANCHING RULES
COIDEAL SUBALGEBRAS
QUANTUM GROUPS
QUANTUM SYMMETRIC PAIRS
topic BRANCHING RULES
COIDEAL SUBALGEBRAS
QUANTUM GROUPS
QUANTUM SYMMETRIC PAIRS
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 consider the quantum symmetric pair (Uq(Su(3)) , B) where B is a right coideal subalgebra. We prove that all finite-dimensional irreducible representations of B are weight representations and are characterised by their highest weight and dimension. We show that the restriction of a finite-dimensional irreducible representation of Uq(Su(3)) to B decomposes multiplicity free into irreducible representations of B. Furthermore we give explicit expressions for the highest weight vectors in this decomposition in terms of dual q-Krawtchouk polynomials.
Fil: Aldenhoven, Noud. Radboud Universiteit Nijmegen; Países Bajos
Fil: Koelink, Erik. Radboud Universiteit Nijmegen; Países Bajos
Fil: Román, Pablo Manuel. 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 consider the quantum symmetric pair (Uq(Su(3)) , B) where B is a right coideal subalgebra. We prove that all finite-dimensional irreducible representations of B are weight representations and are characterised by their highest weight and dimension. We show that the restriction of a finite-dimensional irreducible representation of Uq(Su(3)) to B decomposes multiplicity free into irreducible representations of B. Furthermore we give explicit expressions for the highest weight vectors in this decomposition in terms of dual q-Krawtchouk polynomials.
publishDate 2017
dc.date.none.fl_str_mv 2017-08
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/11336/59985
Aldenhoven, Noud; Koelink, Erik; Román, Pablo Manuel; Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra; Springer; Algebras and Representation Theory; 20; 4; 8-2017; 821-842
1386-923X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/59985
identifier_str_mv Aldenhoven, Noud; Koelink, Erik; Román, Pablo Manuel; Branching Rules for Finite-Dimensional Uq(Su(3))-Representations with Respect to a Right Coideal Subalgebra; Springer; Algebras and Representation Theory; 20; 4; 8-2017; 821-842
1386-923X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s10468-017-9678-z
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10468-017-9678-z
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 Springer
publisher.none.fl_str_mv Springer
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 13.203462

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