On the sign of regular algebraic polarizable automorphic representations
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Author(s)
Patrikis, Stefan T
Date Issued
October 2014
Journal
Mathematische Annalen
Publisher
Springer Berlin Heidelberg
Citation
Patrikis, Stefan. “On the Sign of Regular Algebraic Polarizable Automorphic Representations.” Mathematische Annalen 362.1–2 (2015): 147–171.
Version
Author's final manuscript
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 our previous results on finding geometric lifts, through central torus quotients, of geometric Galois representations, and apply them to the previous mixed-parity setting.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00208-014-1111-x
