On certain global constructions of automorphic forms related to a small representation of F4

被引：4

作者：

Ginzburg, David ^{[1
]}

机构：

[1] Tel Aviv Univ, Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

JOURNAL OF NUMBER THEORY | 2019年 / 200卷

基金：

以色列科学基金会;

关键词：

Langands lifting; Small representations; DISTINGUISHED REPRESENTATIONS; COEFFICIENTS;

D O I：

10.1016/j.jnt.2019.01.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 nonvanishing of some global period integral. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1 / 95

页数：95

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