Global Mixed Periods and local Klyachko models for the general linear group
Representation Theory
2007-10-19 v1 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0710.3492,
title = {Global Mixed Periods and local Klyachko models for the general linear group},
author = {Omer Offen and Eitan Sayag},
journal= {arXiv preprint arXiv:0710.3492},
year = {2007}
}
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22 pages