On the sign of regular algebraic polarizable automorphic representations

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...

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Bibliographic Details
Main Author: Patrikis, Stefan T (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer Berlin Heidelberg, 2016-10-24T14:59:00Z.
Subjects:
Online Access:Get fulltext
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100 1 0 |a Patrikis, Stefan T  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Patrikis, Stefan T  |e contributor 
245 0 0 |a On the sign of regular algebraic polarizable automorphic representations 
260 |b Springer Berlin Heidelberg,   |c 2016-10-24T14:59:00Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/104935 
520 |a 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. 
520 |a National Science Foundation (U.S.) (Grant DMS-1062759) 
546 |a en 
655 7 |a Article 
773 |t Mathematische Annalen