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).
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页码：1217 / 1283
页数：67
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