Compatible systems of Galois representations associated to the exceptional group E6

Abstract

We construct, over any CM field, compatible systems of l-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all l) algebraic monodromy groups equal to the exceptional group of type E6.

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References in corpus (4)

• Local-global compatibility and the action of monodromy on nearby cycles
• Rigid local systems and relative motives with Galois group G_2
• Deformations of Galois representations and exceptional monodromy
• Lifting of elements of Weyl groups

Cited by in corpus (1)

• Lifting irreducible Galois representations