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arXiv:1605.08020 [math.NT]AbstractReferencesReviewsResources

On the images of the Galois representations attached to generic automorphic representations of GSp(4)

Luis Dieulefait, Adrian Zenteno

Published 2016-05-25Version 1

By making use of Langlands functoriality between GSp(4) and GL(4), we show that the images of the Galois representations attached to "genuine" globally generic automorphic representations of GSp(4) are "large" for almost every prime. Moreover, by using the notion of (n,p)-groups (introduced by Khare, Larsen and Savin) and generic Langlands functoriality from SO(5) to GL(4) we construct automorphic representations of GSp(4) such that the compatible system attached to them has large image for all primes.

Comments: 17 pages
Categories: math.NT
Subjects: 11F80, 11F12, 11F46
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