Images of two-dimensional motivic Galois representations

被引：0

作者：

Kirsten Schneider

机构：

[1] Universität Regensburg,

来源：

manuscripta mathematica | 2004年 / 113卷

关键词：

Integral Representation; Number Field; Galois Representation; Adelic Version;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let M be a two-dimensional motive which is pure of weight w over a number field K and let (φℓ: GK →Aut(Hℓ(M) ))ℓ be the system of the ℓ-adic realizations. Choose GK-invariant ℤℓ -lattices Tℓ of Hℓ(M) and let (φℓ:GK →GL (Tℓ))ℓbe the corresponding system of integral representations. Then either for almost all primes φℓ (GK) consist of all the elements of GL(Tℓ) with determinant in (ℤℓ*)−w or the system (φℓ) is associated to algebraic Hecke characters. We also can prove an adelic version of our results.

引用

页码：293 / 306

页数：13

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