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On the image of $Λ$ -adic Galois representations

Ami Fischman — 2002

Annales de l’institut Fourier

We explore the question of how big the image of a Galois representation attached to a $Λ$ -adic modular form with no complex multiplication is and show that for a “generic” set of $Λ$ -adic modular forms (normalized, ordinary eigenforms with no complex multiplication), all have a large image.

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On the image of Λ -adic Galois representations

On the image of $Λ$ -adic Galois representations