On the sign of regular algebraic polarizable automorphic representations

Stefan Patrikis

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arXiv · 1306.1242

On the sign of regular algebraic polarizable automorphic representations

Stefan Patrikis

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Abstract

We remove a parity condition from the construction of automorphic Galois representations carried out in the Paris Book Project. We subsequently generalize this construction to the case of `mixed-parity' (but still regular essentially self-dual) automorphic representations over totally real fields, finding associated geometric projective representations. Finally, we optimize some of the Galois lifting results of arxiv:1207.6724 and apply them to the previous mixed-parity setting.

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Stefan Patrikis. 2013-06-05. On the sign of regular algebraic polarizable automorphic representations. https://arxiv.org/abs/1306.1242

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