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arXiv · 0710.3492

Global Mixed Periods and local Klyachko models for the general linear group

Omer Offen·Eitan Sayag
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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.

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Omer Offen, Eitan Sayag. 2007-10-18. Global Mixed Periods and local Klyachko models for the general linear group. https://arxiv.org/abs/0710.3492

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