On twists of cuspidal representations of GL(2)

被引：15

作者：

Lapid, E ^{[1
]}

Rogawski, J

机构：

[1] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel

[2] Hebrew Univ Jerusalem, Dept Math, IL-91904 Jerusalem, Israel

来源：

FORUM MATHEMATICUM | 1998年 / 10卷 / 02期

关键词：

D O I：

10.1515/form.10.2.175

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let sigma be a Galois automorphism of a number held E. We determine the cuspidal representations pi of GL(2)(A(E)) such that sigma (pi) similar or equal to pi circle times omega for some Hecke character omega. Our result is applied to extend the descent criterion of the base change theorem for GL(2) from cyclic extensions of prime degree to arbitrary cyclic extensions.

引用

页码：175 / 197

页数：23

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