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dc.contributor.author
Duflo, Michel  
dc.contributor.author
Vargas, Jorge Antonio  
dc.date.available
2023-02-07T13:58:39Z  
dc.date.issued
2010-03  
dc.identifier.citation
Duflo, Michel; Vargas, Jorge Antonio; Branching laws for square integrable representations; Japan Acad; Proceedings Of The Japan Academy. Series A; 86; 3; 3-2010; 49-54  
dc.identifier.issn
0386-2194  
dc.identifier.uri
http://hdl.handle.net/11336/187183  
dc.description.abstract
In this note, we study an irreducible square integrable representation of a reductive Lie group with admissible restriction to some reductive subgroup. We propose sufficient conditions for admissibility and, in this case, formulas for the multiplicity of each irreducible factor of the restriction, generalizing the multiplicity formulas due to Kostant-Heckman or Hecht-Schmid. We consider also the semi-classical analogue of these results for coadjoint orbits.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Japan Acad  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
BRANCHING LAWS  
dc.subject
DISCRETE SERIES  
dc.subject
MULTIPLICITY FORMULAS  
dc.subject
SQUARE INTEGRABLE REPRESENTATIONS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Branching laws for square integrable representations  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-01-31T12:31:35Z  
dc.identifier.eissn
0386-2194  
dc.journal.volume
86  
dc.journal.number
3  
dc.journal.pagination
49-54  
dc.journal.pais
Japón  
dc.journal.ciudad
Tokio  
dc.description.fil
Fil: Duflo, Michel. Université Paris Diderot - Paris 7; Francia  
dc.description.fil
Fil: Vargas, Jorge Antonio. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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  
dc.journal.title
Proceedings Of The Japan Academy. Series A  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/journals/proceedings-of-the-japan-academy-series-a-mathematical-sciences/volume-86/issue-3/Branching-laws-for-square-integrable-representations/10.3792/pjaa.86.49.full  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3792/pjaa.86.49  

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