On the images of the Galois representations attached to generic automorphic representations of GSp(4)
| Autor: | Adrian Zenteno, Luis Dieulefait |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Mathematics - Number Theory Mathematics::Number Theory Automorphic form Construct (python library) Galois module Theoretical Computer Science Image (mathematics) Set (abstract data type) Mathematics (miscellaneous) FOS: Mathematics 11F80 11F12 11F46 Number Theory (math.NT) Mathematics::Representation Theory Mathematics |
| Popis: | 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. Revised version - referees' comments added. The final version is to appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) |
| Databáze: | OpenAIRE |
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