M\'ethode des orbites et formules du caract\`ere pour les repr\'esentations temp\'er\'ees d'un groupe alg\'ebrique r\'eel r\'eductif non connexe
Representation Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0010034,
title = {M\'ethode des orbites et formules du caract\`ere pour les repr\'esentations temp\'er\'ees d'un groupe alg\'ebrique r\'eel r\'eductif non connexe},
author = {Jean-Yves Ducloux},
journal= {arXiv preprint arXiv:math/0010034},
year = {2007}
}
Comments
54 pages, Latex, in French