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

Omer Offen; Eitan Sayag

doi:10.1093/imrn/rnm136

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

Omer Offen
, Eitan Sayag

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We show that every irreducible representation in the discrete automorphic spectrum of GL_n(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 GL_n(F) has a Klyachko model.

Original language	English
Article number	rnm136
Journal	International Mathematics Research Notices
Volume	2007
DOIs	https://doi.org/10.1093/imrn/rnm136
State	Published - 1 Dec 2007
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Global mixed periods and local klyachko models for the general linear group",

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.",

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/42149180875

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DO - 10.1093/imrn/rnm136

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

M1 - rnm136

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

Abstract

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