Harish-Chandra's orthogonality relations for admissible representations
Jing-Song Huang
Hong Kong University of Science and Technology, Kowloon, Hong KongDragan Miličić
University of Utah, Salt Lake City, USABinyong Sun
Chinese Academy of Sciences, Beijing, China
![Harish-Chandra's orthogonality relations for admissible representations cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-22-issue-4.png&w=3840&q=90)
Abstract
We prove a generalization of Harish-Chandra’s character orthogonality relations for discrete series to arbitrary admissible representations for real reductive Lie groups. This result is an analogue of a conjecture by Kazhdan for p-adic reductive groups proved by Bezrukavnikov and by Schneider and Stuhler.
Cite this article
Jing-Song Huang, Dragan Miličić, Binyong Sun, Harish-Chandra's orthogonality relations for admissible representations. J. Eur. Math. Soc. 22 (2020), no. 4, pp. 1095–1113
DOI 10.4171/JEMS/940