We show that every irreducible representation in the discrete automorphic spectrum of GLn(A) admits a nonvanishing mixed (Whittaker-symplectic) period integral. The analog local problem is a study of models first considered by Klyachko over a finite field. Locally, we show that for a p-adic field F every irreducible, unitary representation of GLn(F) has a Klyachko model.
ASJC Scopus subject areas
- Mathematics (all)