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arxiv: 1305.1989 · v3 · pith:YT7TFZH7new · submitted 2013-05-09 · 🧮 math.NT

Type A Images of Galois Representations and Maximality

classification 🧮 math.NT
keywords galoisrepresentationstypearisingcartan-killingclassificationclosurecohomology
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Given a compatible system of n-dimension l-adic Galois representations arising from \'etale cohomology of any complete, non-singular variety, we prove that for sufficiently large prime l, type A Galois image (in the Cartan-Killing classification) is in some sense maximal in its Zariski closure in GL(n).

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