Branching rules for finite-dimensional Uq (su(3))-representations with respect to a right coideal subalgebra
Fil: Aldenhoven, Noud. Radboud Universiteit; Netherlands.
| Main Authors: | , , |
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| Other Authors: | |
| Format: | info:eu-repo/semantics/publishedVersion |
| Language: | eng |
| Published: |
2024
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| Subjects: | |
| Online Access: | http://hdl.handle.net/11086/553315 https://doi.org/10.1007/s10468-017-9678-z |
| _version_ | 1808112610183217152 |
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| author | Aldenhoven, Noud Koelink, Erik Román, Pablo Manuel |
| author2 | https://orcid.org/0000-0002-2791-385X |
| author_facet | https://orcid.org/0000-0002-2791-385X Aldenhoven, Noud Koelink, Erik Román, Pablo Manuel |
| author_sort | Aldenhoven, Noud |
| collection | Repositorio Digital Universitario |
| description | Fil: Aldenhoven, Noud. Radboud Universiteit; Netherlands. |
| format | info:eu-repo/semantics/publishedVersion |
| id | rdu-unc.553315 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2024 |
| record_format | dspace |
| spelling | rdu-unc.5533152024-08-17T11:24:38Z 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; 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; 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/ |
| 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 |
| title | 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_short | 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 |
| topic | Quantum groups Coideal subalgebras Quantum symmetric pairs Branching rules |
| url | http://hdl.handle.net/11086/553315 https://doi.org/10.1007/s10468-017-9678-z |
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