On certain global constructions of automorphic forms related to a small representation of F 4

David Ginzburg

doi:10.1016/j.jnt.2019.01.020

On certain global constructions of automorphic forms related to a small representation of F ₄

David Ginzburg

School of Mathematical Sciences

Tel Aviv University

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

Abstract

In this paper we consider some global constructions of liftings of automorphic representations attached to some commuting pairs in the exceptional group F ₄ . To do that, we first construct a small representation defined on the double cover of F ₄ and study its properties. Then we study some global aspects of these constructions, such as cuspidality, non-vanishing and give characterizations of the lift in terms of non-vanishing of some global period integral.

Original language	English
Pages (from-to)	1-95
Number of pages	95
Journal	Journal of Number Theory
Volume	200
DOIs	https://doi.org/10.1016/j.jnt.2019.01.020
State	Published - Jul 2019

Keywords

Langands lifting
Small representations

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1016/j.jnt.2019.01.020

Cite this

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abstract = " In this paper we consider some global constructions of liftings of automorphic representations attached to some commuting pairs in the exceptional group F 4 . To do that, we first construct a small representation defined on the double cover of F 4 and study its properties. Then we study some global aspects of these constructions, such as cuspidality, non-vanishing and give characterizations of the lift in terms of non-vanishing of some global period integral.",

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