Journal of Lie Theory

no. 4
Square Integrable Representations of Reductive Lie Groups with Admissible Restriction to SL2(R)
Journal of Lie Theory, Volume 27 (2017) no. 4, pp. 1033-1056
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.
DOI: 10.5802/jolt.981
Classification: 22E46, 17B10
Keywords: Discrete Series, branching laws, admissible restriction 
@article{JOLT_2017_27_4_a7,
     author = {M. Duflo and E. Galina and J. 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},
     doi = {10.5802/jolt.981},
     zbl = {1385.22004},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.981/}
}
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%0 Journal Article
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%A E. Galina
%A J. A. Vargas
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%J Journal of Lie Theory
%D 2017
%P 1033-1056
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%F JOLT_2017_27_4_a7
M. Duflo; E. Galina; J. A. Vargas. Square Integrable Representations of Reductive Lie Groups with Admissible Restriction to SL2(R). Journal of Lie Theory, Volume 27 (2017) no. 4, pp. 1033-1056. doi: 10.5802/jolt.981

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