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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
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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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BibTeXRIS

Jean-Yves Ducloux. 2000-10-03. Méthode des orbites et formules du caractère pour les représentations tempérées d'un groupe algébrique réel réductif non connexe. https://arxiv.org/abs/math/0010034

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