Square integrable representations of reductive Lie groups with admissible restriction to SL2(R)
Artículo finalmente publicado en: Duflo, M., Galina, E. y Vargas, J. A. (2017). Square integrable representations of reductive Lie groups with admissible restriction to SL2(R). Journal of Lie Theory, 27(4), 1033-1056. http://hdl.handle.net/11086/556596
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| Format: | info:eu-repo/semantics/submittedVersion |
| Language: | eng |
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2025
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| Online Access: | http://hdl.handle.net/11086/556596 |
| _version_ | 1838752294200410112 |
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| author | Duflo, Michel Galina, Esther Vargas, Jorge Antonio |
| author2 | https://orcid.org/0000-0001-9160-099X |
| author_facet | https://orcid.org/0000-0001-9160-099X Duflo, Michel Galina, Esther Vargas, Jorge Antonio |
| author_sort | Duflo, Michel |
| collection | Repositorio Digital Universitario |
| description | Artículo finalmente publicado en: Duflo, M., Galina, E. y Vargas, J. A. (2017). Square integrable representations of reductive Lie groups with admissible restriction to SL2(R). Journal of Lie Theory, 27(4), 1033-1056. http://hdl.handle.net/11086/556596 |
| format | info:eu-repo/semantics/submittedVersion |
| id | rdu-unc.556596 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2025 |
| record_format | dspace |
| spelling | rdu-unc.5565962025-07-25T15:26:04Z Square integrable representations of reductive Lie groups with admissible restriction to SL2(R) Duflo, Michel Galina, Esther Vargas, Jorge Antonio https://orcid.org/0000-0001-9160-099X Discrete series Branching laws Admissible restriction Artículo finalmente publicado en: Duflo, M., Galina, E. y Vargas, J. A. (2017). Square integrable representations of reductive Lie groups with admissible restriction to SL2(R). Journal of Lie Theory, 27(4), 1033-1056. http://hdl.handle.net/11086/556596 info:eu-repo/semantics/submittedVersion Fil: Duflo, Michel. Université Paris Diderot-Paris 7. L'Unité de Formation et de Recherche de Mathématiques; Francia. Fil: Galina, Esther. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Galina, Esther. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Galina, Esther. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Vargas, Jorge Antonio. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Vargas, Jorge Antonio. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Vargas, Jorge Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. In this note we determine the irreducible square integrable representations of a reductive connected Lie group which admit an H - admissible restriction to a subgroup H locally isomorphic to SL2(R). We show that such a representation is holomorphic and we determine the essentially unique H with this property as well as multiplicity formulae. http://www.heldermann.de/JLT/JLT27/JLT274/jlt27051.htm info:eu-repo/semantics/submittedVersion Fil: Duflo, Michel. Université Paris Diderot-Paris 7. L'Unité de Formation et de Recherche de Mathématiques; Francia. Fil: Galina, Esther. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Galina, Esther. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Galina, Esther. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Vargas, Jorge Antonio. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Vargas, Jorge Antonio. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Vargas, Jorge Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Matemática Pura 2025-07-25T13:27:49Z 2025-07-25T13:27:49Z 2017 article 0949-5932 http://hdl.handle.net/11086/556596 eng Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Impreso; Electrónico y/o Digital |
| spellingShingle | Discrete series Branching laws Admissible restriction Duflo, Michel Galina, Esther Vargas, Jorge Antonio Square integrable representations of reductive Lie groups with admissible restriction to SL2(R) |
| title | Square integrable representations of reductive Lie groups with admissible restriction to SL2(R) |
| title_full | Square integrable representations of reductive Lie groups with admissible restriction to SL2(R) |
| title_fullStr | Square integrable representations of reductive Lie groups with admissible restriction to SL2(R) |
| title_full_unstemmed | Square integrable representations of reductive Lie groups with admissible restriction to SL2(R) |
| title_short | Square integrable representations of reductive Lie groups with admissible restriction to SL2(R) |
| title_sort | square integrable representations of reductive lie groups with admissible restriction to sl2 r |
| topic | Discrete series Branching laws Admissible restriction |
| url | http://hdl.handle.net/11086/556596 |
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