Repr\'esentations potentiellement triangulines de dimension 2
Abstract
The two main results of this note are on the one hand that if V is a 2-dimensional potentially trianguline representation of GQp then V satisfies at least one of the following properties (1) V is split trianguline (2) V is a direct sum of characters or an induced representation (3) V is a twist of a de Rham representation, and on the other hand that there exists some 2-dimensional representations of GQp which are not potentially trianguline.
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