Sur quelques repr\'esentations potentiellement cristallines de GL_2(Q_p)

By Laurent Berger, C. Breuil. 2006

87 citations recorded by the source corpus.

To each 2-dimensional irreducible p-adic representation of Gal(Qpbar/Qp) which becomes crystalline over an abelian extension of Q_p, we associate a Banach space B(V) endowed with a linear continuous unitary action of GL_2(Q_p). When V is moreover phi-semi-simple, we use the (phi,Gamma)-module and the Wach module associated to V to show that the representation B(V) is nonzero, topologically irreducible and admissible.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bf7d80b691727c6cb31118b0c8cced0ef23cd4bc

Citations in the corpus

• Construction de (φ,Γ)-modules: représentations p-adiques et B-paires (2008, unknown): “5 à Dcris(V ), on retrouve le théorème principal de [Colmez 1999] généralisé dans [Berger et Breuil 2006].”