On the images of the Galois representations attached to genus 2 Siegel modular forms

2001/09/25 by Luis V. Dieulefait, Dieulefait, Luis V. · 1 citation
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.math/0109228

arxiv created 2001/09/25 · arxiv updated 2009/12/01

Abstract

We address the problem of the determination of the images of the Galois representations attached to genus 2 Siegel cusp forms of level 1 having multiplicity one. These representations are symplectic. We prove that the images are as large as possible for almost every prime, if the Siegel cusp form is not a Maass spezialform and verifies two easy to check conditions.

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• Distinguishing Siegel modular forms

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