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
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
收藏
页码:1217 / 1283
页数:67
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