Méthode des orbites et formules du caractère pour les représentations tempérées d'un groupe algébrique réel réductif non connexe
Abstract
Description
Let G be a non-connected reductive real Lie group. In this paper, I parametrize the set of irreductible tempered characters of G. Afterwards, I describe these characters by means of some ``Kirillov's formulas'', using the descent method near each elliptic element in G.
If G is linear and connected, the parameters that I use are ``final basic'' parameters in the sense of Knapp and Zuckerman.
54 pages, Latex, in French
54 pages, Latex, in French