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.
| Original language | English |
|---|---|
| Pages (from-to) | 1095-1113 |
| Number of pages | 19 |
| Journal | Journal of the European Mathematical Society |
| Volume | 22 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2020 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© European Mathematical Society 2020
Keywords
- Elliptic pairing
- Harish-Chandra module
- Harish-Chandra orthogonality relations
- Homological pairing
- Real reductive group
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