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arXiv · 1509.01755

Kazhdan's orthogonality conjecture for real reductive groups

Jing-Song Huang·Dragan Miličić·Binyong Sun
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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.

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Jing-Song Huang, Dragan Miličić, Binyong Sun. 2015-09-06. Kazhdan's orthogonality conjecture for real reductive groups. https://arxiv.org/abs/1509.01755

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