arXiv subjects

Jean-Yves Ducloux

Publications and source records attributed to Jean-Yves Ducloux.

2 recordsLinked to original sources

arXiv2026

The Orbit Method and Character Formulas for Tempered representations of a Nonconnected Reductive Real Algebraic Group

Let G be a possibly disconnected reductive real Lie group. In this paper, I parametrize the set of irreductible tempered characters of G. I then describe these characters using certain ``Kirillov's formulas,'' based on the descent method near each elliptic element in G. If G is linear and connected, the parameters I use are ``final basic'' parameters in the sense of Knapp and Zuckerman.

math.RT↗

arXiv2000

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

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.

math.RT↗