Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups

Autores
Ørsted, Bent; Vargas, Jorge Antonio
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
For a semisimple Lie group G satisfying the equal rank condition, the most basic family of unitary irreducible representations is the Discrete Series found by Harish-Chandra. In this paper, we continue our study of the branching laws for Discrete Series when restricted to a subgroup H of the same type by use of integral and differential operators in combination with our previous duality principle. Many results are presented in generality, others are shown in detail for Holomorphic Discrete Series.
Fil: Ørsted, Bent. University Aarhus; Dinamarca
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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
INTERTWINING OPERATORS
ADMISSIBLE RESTRICTION
DUALITY THEOREM
REPRODUCING KERNEL
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/287185
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric SubgroupsØrsted, BentVargas, Jorge AntonioINTERTWINING OPERATORSADMISSIBLE RESTRICTIONDUALITY THEOREMREPRODUCING KERNELhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1For a semisimple Lie group G satisfying the equal rank condition, the most basic family of unitary irreducible representations is the Discrete Series found by Harish-Chandra. In this paper, we continue our study of the branching laws for Discrete Series when restricted to a subgroup H of the same type by use of integral and differential operators in combination with our previous duality principle. Many results are presented in generality, others are shown in detail for Holomorphic Discrete Series.Fil: Ørsted, Bent. University Aarhus; DinamarcaFil: 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaHeldermann Verlag2025-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/287185Ørsted, Bent; Vargas, Jorge Antonio; Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups; Heldermann Verlag; Journal Of Lie Theory; 35; 4; 12-2025; 909-9550949-5932CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://jolt.centre-mersenne.org/articles/10.5802/jolt.1413/info:eu-repo/semantics/altIdentifier/doi/10.5802/jolt.1413info:eu-repo/semantics/altIdentifier/url/https://www.heldermann.de/JLT/JLT35/JLT354/jlt35044.htminfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T14:32:25Zoai:ri.conicet.gov.ar:11336/287185instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-08-25 14:32:25.401CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups
title Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups
spellingShingle Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups
Ørsted, Bent
INTERTWINING OPERATORS
ADMISSIBLE RESTRICTION
DUALITY THEOREM
REPRODUCING KERNEL
title_short Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups
title_full Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups
title_fullStr Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups
title_full_unstemmed Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups
title_sort Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups
dc.creator.none.fl_str_mv Ørsted, Bent
Vargas, Jorge Antonio
author Ørsted, Bent
author_facet Ørsted, Bent
Vargas, Jorge Antonio
author_role author
author2 Vargas, Jorge Antonio
author2_role author
dc.subject.none.fl_str_mv INTERTWINING OPERATORS
ADMISSIBLE RESTRICTION
DUALITY THEOREM
REPRODUCING KERNEL
topic INTERTWINING OPERATORS
ADMISSIBLE RESTRICTION
DUALITY THEOREM
REPRODUCING KERNEL
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv For a semisimple Lie group G satisfying the equal rank condition, the most basic family of unitary irreducible representations is the Discrete Series found by Harish-Chandra. In this paper, we continue our study of the branching laws for Discrete Series when restricted to a subgroup H of the same type by use of integral and differential operators in combination with our previous duality principle. Many results are presented in generality, others are shown in detail for Holomorphic Discrete Series.
Fil: Ørsted, Bent. University Aarhus; Dinamarca
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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description For a semisimple Lie group G satisfying the equal rank condition, the most basic family of unitary irreducible representations is the Discrete Series found by Harish-Chandra. In this paper, we continue our study of the branching laws for Discrete Series when restricted to a subgroup H of the same type by use of integral and differential operators in combination with our previous duality principle. Many results are presented in generality, others are shown in detail for Holomorphic Discrete Series.
publishDate 2025
dc.date.none.fl_str_mv 2025-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/287185
Ørsted, Bent; Vargas, Jorge Antonio; Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups; Heldermann Verlag; Journal Of Lie Theory; 35; 4; 12-2025; 909-955
0949-5932
CONICET Digital
CONICET
url http://hdl.handle.net/11336/287185
identifier_str_mv Ørsted, Bent; Vargas, Jorge Antonio; Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups; Heldermann Verlag; Journal Of Lie Theory; 35; 4; 12-2025; 909-955
0949-5932
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://jolt.centre-mersenne.org/articles/10.5802/jolt.1413/
info:eu-repo/semantics/altIdentifier/doi/10.5802/jolt.1413
info:eu-repo/semantics/altIdentifier/url/https://www.heldermann.de/JLT/JLT35/JLT354/jlt35044.htm
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Heldermann Verlag
publisher.none.fl_str_mv Heldermann Verlag
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1874774112953434112
score 13.265058

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