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

2007/10/18 by Omer Offen, Offen, Omer, Eitan Sayag +1
Mathematics · #11F67 #22E50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0710.3492

openalex publication_date 2007/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Rankin-Selberg Convolutions

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