Galois representations associated with unitary groups over Q

被引：11
|
作者：
Skinner, Christopher [1 ]
机构：
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
来源：
ALGEBRA & NUMBER THEORY | 2012年 / 6卷 / 08期
基金：
美国国家科学基金会;
关键词：
Galois representations; unitary groups; automorphic representations;
D O I：
10.2140/ant.2012.6.1697
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a cuspidal automorphic representation pi = circle times(l <=infinity) pi(l) of a unitary similitude group GU(a, b)(/Q) with archimedean component pi(infinity) in a regular discrete series has an associated (a + b)-dimensional p-adic Galois representation with Frobenius eigenvalues given by the local base change parameters for all primes l such that pi(l) and GU(a, b) are unramified.
引用
收藏
页码：1697 / 1717
页数：21
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