Vol. 290, No. 1, 2017

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An orthogonality relation for spherical characters of supercuspidal representations

Chong Zhang

Vol. 290 (2017), No. 1, 247–255
Abstract

We show that, in the setting of Galois pairs, the spherical characters of unitary supercuspidal representations satisfy an orthogonality relation.

Keywords
spherical character, supercuspidal representation
Mathematical Subject Classification 2010
Primary: 11F70
Milestones
Received: 11 January 2017
Revised: 9 February 2017
Accepted: 14 February 2017
Published: 7 July 2017
Authors
Chong Zhang
School of Mathematical Sciences
Beijing Normal University
Beijing 100875
China