Geodesic
Restrictions des s�ries discr�tes de certains groupes r�solubles
Journal of Lie theory, Tome 24 (2014) no. 3, pp. 865-887.

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

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 
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     author = {S. Kouki },
     title = {Restrictions des s�ries discr�tes de certains groupes r�solubles},
     journal = {Journal of Lie theory},
     pages = {865--887},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_3_JLT_2014_24_3_a12/}
}
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S. Kouki . Restrictions des s�ries discr�tes de certains groupes r�solubles. Journal of Lie theory, Tome 24 (2014) no. 3, pp. 865-887. http://geodesic.mathdoc.fr/item/JLT_2014_24_3_JLT_2014_24_3_a12/