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

Luis V. Dieulefait

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

Luis V. Dieulefait

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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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BibTeX RIS

Luis V. Dieulefait. 2001-09-25. On the images of the Galois representations attached to genus 2 Siegel modular forms. https://arxiv.org/abs/math/0109228

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