Branching rules for finite-dimensional Uq (su(3))-representations with respect to a right coideal subalgebra

Fil: Aldenhoven, Noud. Radboud Universiteit; Netherlands.

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Detalles Bibliográficos
Autores principales: Aldenhoven, Noud, Koelink, Erik, Román, Pablo Manuel
Otros Autores: https://orcid.org/0000-0002-2791-385X
Formato: publishedVersion article
Lenguaje:Inglés
Publicado: 2024
Materias:
Quantum groups
Coideal subalgebras
Quantum symmetric pairs
Branching rules
Acceso en línea:http://hdl.handle.net/11086/553315
https://doi.org/10.1007/s10468-017-9678-z
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-553315
record_format dspace
spelling I10-R141-11086-5533152025-03-13T13:04:29Z Branching rules for finite-dimensional Uq (su(3))-representations with respect to a right coideal subalgebra Aldenhoven, Noud Koelink, Erik Román, Pablo Manuel https://orcid.org/0000-0002-2791-385X Quantum groups Coideal subalgebras Quantum symmetric pairs Branching rules 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. 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 2024-08-16T14:41:30Z 2024-08-16T14:41:30Z 2017 article 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 eng Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Quantum groups
Coideal subalgebras
Quantum symmetric pairs
Branching rules
spellingShingle Quantum groups
Coideal subalgebras
Quantum symmetric pairs
Branching rules
Aldenhoven, Noud
Koelink, Erik
Román, Pablo Manuel
Branching rules for finite-dimensional Uq (su(3))-representations with respect to a right coideal subalgebra
topic_facet Quantum groups
Coideal subalgebras
Quantum symmetric pairs
Branching rules
description Fil: Aldenhoven, Noud. Radboud Universiteit; Netherlands.
author2 https://orcid.org/0000-0002-2791-385X
author_facet https://orcid.org/0000-0002-2791-385X
Aldenhoven, Noud
Koelink, Erik
Román, Pablo Manuel
format publishedVersion
article
author Aldenhoven, Noud
Koelink, Erik
Román, Pablo Manuel
author_sort Aldenhoven, Noud
title Branching rules for finite-dimensional Uq (su(3))-representations with respect to a right coideal subalgebra
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
publishDate 2024
url http://hdl.handle.net/11086/553315
https://doi.org/10.1007/s10468-017-9678-z
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AT romanpablomanuel branchingrulesforfinitedimensionaluqsu3representationswithrespecttoarightcoidealsubalgebra
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