On a converse theorem for G2 over finite fields

被引：0

作者：

Liu, Baiying ^{[1
]}

Zhang, Qing ^{[2
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47906 USA

[2] Korea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Daejeon 34141, South Korea

来源：

MATHEMATISCHE ANNALEN | 2022年 / 383卷 / 3-4期

关键词：

FOURIER-JACOBI MODELS; REDUCTIVE GROUPS; GAMMA FACTORS; UNIPOTENT SUPPORT; REPRESENTATIONS; CONJECTURE; UNIQUENESS; GL(N);

D O I：

10.1007/s00208-021-02250-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove certain multiplicity one theorems and define twisted gamma factors for irreducible generic cuspidal representations of split G(2) over finite fields k of odd characteristic. Then we prove the first converse theorem for exceptional groups, namely, GL(1) and GL(2)-twisted gamma factors will uniquely determine an irreducible generic cuspidal representation of G(2)(k).

引用

页码：1217 / 1283

页数：67

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