Journal of Lie Theory 24 (2014), No. 3, 865--887
Copyright Heldermann Verlag 2014
Restrictions des séries discrètes de certains groupes résolubles
Sami Kouki
Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, 1060 Tunis, Tunisia
sami.kouki@math.univ-poitiers.fr
[Abstract-pdf]
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.
Keywords: Discrete series, representations, restriction, multiplicities.
MSC: 06B15
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