JournalsjemsVol. 22, No. 4pp. 1095–1113

Harish-Chandra's orthogonality relations for admissible representations

  • Jing-Song Huang

    Hong Kong University of Science and Technology, Kowloon, Hong Kong

  • Dragan Miličić

    University of Utah, Salt Lake City, USA

  • Binyong Sun

    Chinese Academy of Sciences, Beijing, China
Harish-Chandra's orthogonality relations for admissible representations cover
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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