Kazhdan's orthogonality conjecture for real reductive groups

Abstract

We prove a generalization of Harish-Chandra's character orthogonality relations for discrete series to arbitrary Harish-Chandra modules for real reductive Lie groups. This result is an analogue of a conjecture by Kazhdan for $\mathfrak{p}$-adic reductive groups proved by Bezrukavnikov, and Schneider and Stuhler.

References in corpus (1)

• Homological properties of representations of p-adic groups related to geometry of the group at infinity

Cited by in corpus (2)

• Dirac Index and Twisted Characters
• Dirac cohomology and Euler-Poincaré pairing for weight modules