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- W2905690994 abstract "We prove that a sum of two odd irreducible two-dimensional Galois representations with squarefree relatively prime Serre conductors is attached to a Hecke eigenclass in the homology of a subgroup of GL(4,ℤ), with the level, nebentype, and coefficient module of the homology predicted by a generalization of Serre’s conjecture to higher dimensions. To do this we prove along the way that any Hecke eigenclass in the homology of a congruence subgroup of a maximal parabolic subgroup of GL(n,ℚ) has a reducible Galois representation attached, where the dimensions of the components correspond to the type of the parabolic subgroup. Our main new tool is a resolution of ℤ by GL(n,ℚ)-modules consisting of sums of Steinberg modules for all subspaces of ℚ n ." @default.
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- W2905690994 date "2018-11-27" @default.
- W2905690994 modified "2023-10-04" @default.
- W2905690994 title "Reducible Galois representations and arithmetic homology for protect mathrm{GL}(4)" @default.
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- W2905690994 doi "https://doi.org/10.5802/ambp.375" @default.
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