Distinguished representations for unitary groups

Ramanujachary Kumanduri

Vol. 178 (1997), No. 2, 293–306

DOI: 10.2140/pjm.1997.178.293

Abstract

We describe a relative trace formula for the study of distinguished automorphic representations on Unitary Groups with respect to certain Symplectic subgroups. The trace formula will establish that these representations are in correspondence with automorphic representations on GL(n,K) for a quadratic extension K∕k, which are distinguished with respect to an inner form of GL(n,k). We establish the matching of orbital integrals at finite primes and describe the lifting of spherical representations.

Milestones

Received: 27 June 1995

Published: 1 April 1997