The sign of Galois representations attached to automorphic forms for unitary groups

Details The sign of Galois representations attached to automorphic forms for unitary groups The sign of Galois representations attached to automorphic forms for unitary groups

2008-04-17

arxiv.org/abs/0804.2860v1

Mathematics

Representation Theory

16 pages

Scientific paper

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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