The Orbit Method and Character Formulas for Tempered representations of a Nonconnected Reductive Real Algebraic Group
Abstract
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Finite Group Theory Research
Advanced Operator Algebra Research
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 28 January 2026
- Document type
- Preprint