Kazhdan's orthogonality conjecture for real reductive groups
Representation Theory
2016-12-23 v3
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 -adic reductive groups proved by Bezrukavnikov, and Schneider and Stuhler.
Cite
@article{arxiv.1509.01755,
title = {Kazhdan's orthogonality conjecture for real reductive groups},
author = {Jing-Song Huang and Dragan Miličić and Binyong Sun},
journal= {arXiv preprint arXiv:1509.01755},
year = {2016}
}