We describe what is known about the local splitting behaviour of Galois representations attached to ordinary cuspidal eigenforms. We relate this to a question of Coleman concerning the existence of non-CM eigenforms of weight k ≥ 2 in the image of the (k − 1)-st power of the theta derivation.
CITATION STYLE
Ghate, E. (2005). Ordinary forms and their local Galois representations. In Algebra and Number Theory (pp. 226–242). Hindustan Book Agency. https://doi.org/10.1007/978-93-86279-23-1_15
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