Geodesic
Restrictions des séries discrètes de certains groupes résolubles
Journal of Lie Theory, Tome 24 (2014) no. 3, pp. 865-887

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

Zbl

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.
Classification : 06B15
Mots-clés : Discrete series, representations, restriction, multiplicities 
S. Kouki. Restrictions des séries discrètes de certains groupes résolubles. Journal of Lie Theory, Tome 24 (2014) no. 3, pp. 865-887. http://geodesic.mathdoc.fr/item/JOLT_2014_24_3_a12/
@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},
     zbl = {1305.22008},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_3_a12/}
}
TY  - JOUR
AU  - S. Kouki
TI  - Restrictions des séries discrètes de certains groupes résolubles
JO  - Journal of Lie Theory
PY  - 2014
SP  - 865
EP  - 887
VL  - 24
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JOLT_2014_24_3_a12/
ID  - JOLT_2014_24_3_a12
ER  - 
%0 Journal Article
%A S. Kouki
%T Restrictions des séries discrètes de certains groupes résolubles
%J Journal of Lie Theory
%D 2014
%P 865-887
%V 24
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2014_24_3_a12/
%F JOLT_2014_24_3_a12