Journal of Lie Theory

no. 3
Restrictions des séries discrètes de certains groupes résolubles
Journal of Lie Theory, Volume 24 (2014) no. 3, pp. 865-887
The study of restrictions of unitary irreducible representations of a Lie group $G$ to its closed subgroups was successfully made by Corwin-Greenleaf for the nilpotent case, Lipsman for the completely solvable case and Fujiwara for the exponential case. However, even if the orbit method describes a large set of representations in $\widehat G$, the study of these restrictions remains a very difficult problem in the general case. In this work, we study the restriction of square integrable representations modulo the center of a solvable connected group, semi-direct product of a torus by a Heisenberg group to its algebraic connected subgroups.
DOI: 10.5802/jolt.810
Classification: 06B15
Keywords: Discrete series, representations, restriction, multiplicities 
@article{JOLT_2014_24_3_a12,
     author = {S. Kouki},
     title = {Restrictions des s\'eries discr\`etes de certains groupes r\'esolubles},
     journal = {Journal of Lie Theory},
     pages = {865--887},
     year = {2014},
     volume = {24},
     number = {3},
     doi = {10.5802/jolt.810},
     zbl = {1305.22008},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.810/}
}
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S. Kouki. Restrictions des séries discrètes de certains groupes résolubles. Journal of Lie Theory, Volume 24 (2014) no. 3, pp. 865-887. doi: 10.5802/jolt.810

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