Geodesic
Square Integrable Representations of Reductive Lie Groups with Admissible Restriction to SL2(R)
Michel Duflo1 ; Esther Galina2 ; Jorge A. Vargas2
1UFR de Mathématiques, Université Paris 7 - Diderot, IMJ-PRG / Case 7012, 75205 Paris Cedex 13, France
2FaMAF-CIEM, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentine
Journal of Lie Theory, Tome 27 (2017) no. 4, pp. 1033-1056

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

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.
Classification : 22E46, 17B10
Mots-clés : Discrete Series, branching laws, admissible restriction

Michel Duflo  1   ; Esther Galina  2   ; Jorge A. Vargas  2

1 UFR de Mathématiques, Université Paris 7 - Diderot, IMJ-PRG / Case 7012, 75205 Paris Cedex 13, France
2 FaMAF-CIEM, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentine 
Michel Duflo; Esther Galina; Jorge A. Vargas. Square Integrable Representations of Reductive Lie Groups with Admissible Restriction to SL2(R). Journal of Lie Theory, Tome 27 (2017) no. 4, pp. 1033-1056. http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a7/
@article{JOLT_2017_27_4_a7,
     author = {Michel Duflo and Esther Galina and Jorge A. Vargas},
     title = {Square {Integrable} {Representations} of {Reductive} {Lie} {Groups} with {Admissible} {Restriction} to {SL\protect\textsubscript{2}(R)}},
     journal = {Journal of Lie Theory},
     pages = {1033--1056},
     year = {2017},
     volume = {27},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a7/}
}
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