Représentations potentiellement triangulines de dimension 2

Details Représentations potentiellement triangulines de dimension 2 Représentations potentiellement triangulines de dimension 2

2009-05-24

arxiv.org/abs/0905.3880v2

Mathematics

Number Theory

18 pages; French; English abstract

Scientific paper

The two main results of this note are on the one hand that if V is a 2-dimensional potentially trianguline representation of G_Qp 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 G_Qp which are not potentially trianguline.

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