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Kazhdan's orthogonality conjecture for real reductive groups

Published 6 Sep 2015 in math.RT | (1509.01755v3)

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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