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math.NT2018★ 5 cited
Lifting irreducible Galois representations
Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis
We study irreducible mod p representations, valued in general reductive groups, of the Galois group of a number field. When the number field is totally real, we show that odd repre…
math.NT2018★ 1 cited
Compatible systems of Galois representations associated to the exceptional group E6
George Boxer, Frank Calegari, Matthew Emerton +3
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 g…