The sign of Galois representations attached to automorphic forms for unitary groups
Representation Theory
2019-02-20 v1 Number Theory
Abstract
We determine the sign of the polarization of any polarized irreducible factor of a Galois representation attached to a polarized cohomological cuspidal automorphic form of Gl_n of a CM field: it is always +1, as was conjectured by Gross.
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Cite
@article{arxiv.0804.2860,
title = {The sign of Galois representations attached to automorphic forms for unitary groups},
author = {Joel Bellaiche and Gaetan Chenevier},
journal= {arXiv preprint arXiv:0804.2860},
year = {2019}
}
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16 pages