Global mixed periods and local klyachko models for the general linear group

Omer Offen, Eitan Sayag

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

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.

Original languageEnglish
Article numberrnm136
JournalInternational Mathematics Research Notices
Volume2007
DOIs
StatePublished - 1 Dec 2007
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)

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