We show that every irreducible representation in the discrete automorphic spectrum of GL(n) admits a non vanishing 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 GL(n,F) has a Klyachko model.
Remark on representation theory of general linear groups over a non-archimedean local division algebra
On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field
Corrigendum to "On the equivariant $K$-theory of the nilpotent cone in the general linear group," published in Represent. Theory 8 (2004)
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