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

共 50 条

[31] ON THE IRREDUCIBLE VERY CUSPIDAL REPRESENTATIONS
TAKAHASHI, T
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1989, 29 (04): : 653 - 670
[32] CUSPIDAL REPRESENTATIONS OF THE LINEAR GROUP
CARAYOL, H
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1984, 17 (02): : 191 - 225
[33] The conservation relation for cuspidal representations
Alberto Mínguez
Mathematische Annalen, 2012, 352 : 179 - 188
[34] FINITE-DIMENSIONAL REPRESENTATIONS OF THE LIE SUPERALGEBRA GL(2/2) IN A GL(2) + GL(2) BASIS .1. TYPICAL REPRESENTATIONS
KAMUPINGENE, AH
KY, NA
PALEV, TD
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (03) : 553 - 570
[35] The conservation relation for cuspidal representations
Minguez, Alberto
MATHEMATISCHE ANNALEN, 2012, 352 (01) : 179 - 188
[36] Nonvanishing twists of GL(2) automorphic L-functions
Brubaker, B
Bucur, A
Chinta, G
Frechette, S
Hoffstein, J
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2004, 2004 (78) : 4211 - 4239
[37] NON-EXISTENCE OF SIEGEL ZEROS FOR CUSPIDAL FUNCTORIAL PRODUCTS ON GL(2) x GL(3)
Luo, Wenzhi
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, : 1915 - 1919
[38] P-CUSPIDAL REPRESENTATIONS
MORRIS, L
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1988, 57 : 329 - 356
[39] Cubic twists of GL(2) automorphic L-functions
Brubaker, B
Friedberg, S
Hoffstein, J
INVENTIONES MATHEMATICAE, 2005, 160 (01) : 31 - 58
[40] Cubic twists of GL(2) automorphic L-functions
Ben Brubaker
Solomon Friedberg
Jeffrey Hoffstein
Inventiones mathematicae, 2005, 160 : 31 - 58

← 1 2 3 4 5 →