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
Fil: Aldenhoven, Noud. Radboud Universiteit; Netherlands.
Fil: Koelink, Erik. Radboud Universiteit. Institute for Mathematics, Astrophysics, and Particle Physics; Netherlands.
Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.
Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina.
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina.
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.
info:eu-repo/semantics/publishedVersion
Fil: Aldenhoven, Noud. Radboud Universiteit; Netherlands.
Fil: Koelink, Erik. Radboud Universiteit. Institute for Mathematics, Astrophysics, and Particle Physics; Netherlands.
Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.
Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina.
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina.
Matemática Pura
Materia
Quantum groups
Coideal subalgebras
Quantum symmetric pairs
Branching rules
Nivel de accesibilidad
acceso abierto
Condiciones de uso
Repositorio
Repositorio Digital Universitario (UNC)
Institución
Universidad Nacional de Córdoba
OAI Identificador
oai:rdu.unc.edu.ar:11086/553315
Acceder
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oai_identifier_str oai:rdu.unc.edu.ar:11086/553315
network_acronym_str RDUUNC
repository_id_str 2572
network_name_str Repositorio Digital Universitario (UNC)
spelling Branching rules for finite-dimensional Uq (su(3))-representations with respect to a right coideal subalgebraAldenhoven, NoudKoelink, ErikRomán, Pablo ManuelQuantum groupsCoideal subalgebrasQuantum symmetric pairsBranching rulesFil: Aldenhoven, Noud. Radboud Universiteit; Netherlands.Fil: Koelink, Erik. Radboud Universiteit. Institute for Mathematics, Astrophysics, and Particle Physics; Netherlands.Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina.Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina.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.info:eu-repo/semantics/publishedVersionFil: Aldenhoven, Noud. Radboud Universiteit; Netherlands.Fil: Koelink, Erik. Radboud Universiteit. Institute for Mathematics, Astrophysics, and Particle Physics; Netherlands.Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina.Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina.Matemática Purahttps://orcid.org/0000-0002-2791-385X2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfAldenhoven, N., Koelink, E. y Román, P. (2017). Branching rules for finite-dimensional Uq (su(3))-representations with respect to a right coideal subalgebra. Algebras and Representation Theory, 20, 821-842. https://doi.org/10.1007/s10468-017-9678-z1386-923Xhttp://hdl.handle.net/11086/5533151572-9079https://doi.org/10.1007/s10468-017-9678-zenginfo:eu-repo/semantics/openAccessreponame:Repositorio Digital Universitario (UNC)instname:Universidad Nacional de Córdobainstacron:UNC2026-04-23T10:31:26Zoai:rdu.unc.edu.ar:11086/553315Institucionalhttps://rdu.unc.edu.ar/Universidad públicaNo correspondehttp://rdu.unc.edu.ar/oai/snrdoca.unc@gmail.comArgentinaNo correspondeNo correspondeNo correspondeopendoar:25722026-04-23 10:31:27.483Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdobafalse
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
Quantum groups
Coideal subalgebras
Quantum symmetric pairs
Branching rules
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.contributor.none.fl_str_mv https://orcid.org/0000-0002-2791-385X
dc.subject.none.fl_str_mv Quantum groups
Coideal subalgebras
Quantum symmetric pairs
Branching rules
topic Quantum groups
Coideal subalgebras
Quantum symmetric pairs
Branching rules
dc.description.none.fl_txt_mv Fil: Aldenhoven, Noud. Radboud Universiteit; Netherlands.
Fil: Koelink, Erik. Radboud Universiteit. Institute for Mathematics, Astrophysics, and Particle Physics; Netherlands.
Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.
Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina.
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina.
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.
info:eu-repo/semantics/publishedVersion
Fil: Aldenhoven, Noud. Radboud Universiteit; Netherlands.
Fil: Koelink, Erik. Radboud Universiteit. Institute for Mathematics, Astrophysics, and Particle Physics; Netherlands.
Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.
Fil: Román, Pablo Manuel. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina.
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina.
Matemática Pura
description Fil: Aldenhoven, Noud. Radboud Universiteit; Netherlands.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
status_str publishedVersion
format article
dc.identifier.none.fl_str_mv Aldenhoven, N., Koelink, E. y Román, P. (2017). Branching rules for finite-dimensional Uq (su(3))-representations with respect to a right coideal subalgebra. Algebras and Representation Theory, 20, 821-842. https://doi.org/10.1007/s10468-017-9678-z
1386-923X
http://hdl.handle.net/11086/553315
1572-9079
https://doi.org/10.1007/s10468-017-9678-z
identifier_str_mv Aldenhoven, N., Koelink, E. y Román, P. (2017). Branching rules for finite-dimensional Uq (su(3))-representations with respect to a right coideal subalgebra. Algebras and Representation Theory, 20, 821-842. https://doi.org/10.1007/s10468-017-9678-z
1386-923X
1572-9079
url http://hdl.handle.net/11086/553315
https://doi.org/10.1007/s10468-017-9678-z
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositorio Digital Universitario (UNC)
instname:Universidad Nacional de Córdoba
instacron:UNC
reponame_str Repositorio Digital Universitario (UNC)
collection Repositorio Digital Universitario (UNC)
instname_str Universidad Nacional de Córdoba
instacron_str UNC
institution UNC
repository.name.fl_str_mv Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdoba
repository.mail.fl_str_mv oca.unc@gmail.com
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score 13.05261

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