Geodesic
Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups
Bent Oersted1 ; Jorge A. Vargas2
1Mathematics Department, Aarhus University, Denmark
2FAMAF-CIEM, Ciudad Universitaria, Córdoba, Argentina
Journal of Lie Theory, Tome 35 (2025) no. 4, pp. 909-955

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22E46, 17B10
Mots-clés : Intertwining operators, admissible restriction, duality theorem, reproducing kernel, discrete series

Bent Oersted  1   ; Jorge A. Vargas  2

1 Mathematics Department, Aarhus University, Denmark
2 FAMAF-CIEM, Ciudad Universitaria, Córdoba, Argentina 
Bent Oersted; Jorge A. Vargas. Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups. Journal of Lie Theory, Tome 35 (2025) no. 4, pp. 909-955. http://geodesic.mathdoc.fr/item/JOLT_2025_35_4_a9/
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     title = {Discrete {Series} {Representations} {Decomposing} {Discretely} with {Finite} {Multiplicity} under {Restriction} to {Symmetric} {Subgroups}},
     journal = {Journal of Lie Theory},
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