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dc.contributor.author
Vargas, Jorge Antonio  
dc.date.available
2024-02-07T17:47:44Z  
dc.date.issued
2023-02  
dc.identifier.citation
Vargas, Jorge Antonio; Pseudo-dual pairs and branching of Discrete Series; Cornell University; arXiv.org; 2-2023; 1-53  
dc.identifier.issn
2331-8422  
dc.identifier.uri
http://hdl.handle.net/11336/226225  
dc.description.abstract
For a semisimple Lie group G, we study Discrete Series representations with admissible branching to a symmetric subgroup H. This is done using a canonical associated symmetric subgroup H0, forming a pseudo-dual pair with H, and a corresponding branching law for this group with respect to its maximal compact subgroup. This is in analogy with either Blattner's or Kostant-Heckmann multiplicity formulas, and has some resemblance to Frobenius reciprocity. We give several explicit examples and links to Kobayashi-Pevzner theory of symmetry breaking and holographic operators. Our method is well adapted to computer algorithms, such as for example the Atlas program.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Cornell University  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Admissible restriction  
dc.subject
Discrete series  
dc.subject
Branching laws  
dc.subject
Reproducing kernel space  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Pseudo-dual pairs and branching of Discrete Series  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-02-06T13:59:43Z  
dc.journal.pagination
1-53  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Ithaca  
dc.description.fil
Fil: Vargas, Jorge Antonio. 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. University Aarhus; Dinamarca  
dc.journal.title
arXiv.org  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2302.14190