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IMAGES OF ADELIC GALOIS REPRESENTATIONS FOR MODULAR FORMS

Part of: Algebraic number theory: global fields Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  03 August 2016

DAVID LOEFFLER
DAVID LOEFFLER*
Affiliation:
Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, UK e-mail: [email protected]
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Abstract

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We show that the image of the adelic Galois representation attached to a non-CM modular form is open in the adelic points of a suitable algebraic subgroup of GL2 (defined by F. Momose). We also show a similar result for the adelic Galois representation attached to a finite set of modular forms.

MSC classification

Primary: 11F80: Galois representations
Secondary: 11R56: Adèle rings and groups
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 1 , January 2017 , pp. 11 - 25
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

References

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