A Converse Theorem for Split SO2l over Finite Fields

被引：0
|
作者：
Alexander Hazeltine
Bai Ying Liu
机构：
[1] Purdue University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2024年 / 40卷
关键词：
Converse theorems; generic cuspidal representations; even special orthogonal groups; 20C33; 20G40;
D O I：
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中图分类号：
学科分类号：
摘要：
We prove a converse theorem for split even special orthogonal groups over finite fields. This is the only case left on converse theorems of classical groups and the difficulty is the existence of the outer automorphism. In this paper, we develop new ideas and overcome this difficulty.
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页码：731 / 771
页数：40
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