Double descent in classical groups

被引：2

作者：

Ginzburg, David ^{[1
]}

Soudry, 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 | 2022年 / 235卷

基金：

以色列科学基金会;

关键词：

Eisenstein series; Speh representations; Cuspidal automorphic; representations; Fourier coefficients; REPRESENTATIONS;

D O I：

10.1016/j.jnt.2021.08.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be the ring of adeles of a number field F. Given a self-dual irreducible, automorphic, cuspidal representation tau of GL(n) (A), with a trivial central character, we construct its full inverse image under the weak Langlands functorial lift from the appropriate split classical group G. We do this by a new automorphic descent method, namely the double descent. This method is derived from the recent generalized doubling integrals of Cai, Friedberg, Ginzburg and Kaplan [CTGK17], which represent the standard L-functions for G x GL(n). Our results are valid also for double covers of symplectic groups. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：1 / 156

页数：156

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