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

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

2001-09-25

arxiv.org/abs/math/0109228v1

Mathematics

Number Theory

Scientific paper

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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