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On the sign of regular algebraic polarizable automorphic representations

Author(s)
Patrikis, Stefan T
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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 our previous results on finding geometric lifts, through central torus quotients, of geometric Galois representations, and apply them to the previous mixed-parity setting.
Date issued
2014-10
URI
http://hdl.handle.net/1721.1/104935
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0025-5831
1432-1807

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