The sign of Galois representations attached to automorphic forms for unitary groups
classification
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math.NT
keywords
attachedautomorphicgaloispolarizedsignalwayscohomologicalconjectured
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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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