Journal of Lie Theory 12 (2002), No. 1, 137--190
Copyright Heldermann Verlag 2002
Méthode des Orbites et Formules du Caractère pour les Représentations Tempérées d'un Groupe Algébrique Réel Réductif Non Connexe
Jean-Yves Ducloux
UFR de Mathématiques, Université Paris 7, 2 Place Jussieu, 75251 Paris 05, France
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.
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