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manuscripta mathematica

, Volume 113, Issue 3, pp 293–306 | Cite as

Images of two-dimensional motivic Galois representations

  • Kirsten SchneiderEmail author
Article
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Abstract.

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

Keywords

Integral Representation Number Field Galois Representation Adelic Version 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Universität RegensburgRegensburgGermany

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