no. 2
On the image of Λ-adic Galois representations
[Sur l’image des représentations galoisiennes Λ-adiques]
Annales de l'Institut Fourier, Tome 52 (2002) no. 2, pp. 351-378.

Nous explorons la question de détermination de l’image des représentations galoisiennes modulaires Λ-adiques sans multiplication complexe et montrons que pour un ensemble “générique” de formes modulaires Λ-adiques (formes propres normalisées sans multiplication complexe), elles ont toutes une image contenant SL 2 (Λ).

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.

DOI : https://doi.org/10.5802/aif.1890
Classification : 11F80,  11F11,  11F85,  11R23
Mots clés : forme modulaire, famille p-adique, représentation galoisienne, forme modulaire p-adique 
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     author = {Fischman, Ami},
     title = {On the image of $\Lambda $-adic {Galois} representations},
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     year = {2002},
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Fischman, Ami. On the image of $\Lambda $-adic Galois representations. Annales de l'Institut Fourier, Tome 52 (2002) no. 2, pp. 351-378. doi : 10.5802/aif.1890. http://www.numdam.org/articles/10.5802/aif.1890/

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