EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 12, No. 1, pp. 137--190 (2002)

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Méthode des orbites et formules du caractère pour les représentations tempérées d'un groupe algébrique réel réductif non connexe

Jean-Yves Ducloux

Jean-Yves Ducloux
Université Paris 7
UFR de Mathématiques, UMR 7586
2 place Jussieu,
F-75251 Paris Cedex 05, France
ducloux@math.jussieu.fr

Abstract: 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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Electronic fulltext finalized on: 30 Oct 2001. This page was last modified: 9 Nov 2001.

© 2001 Heldermann Verlag
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