Sur quelques représentations potentiellement cristallines de GL_2(Q_p)

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00605397
Contributor : Laurent Berger <>
Submitted on : Friday, July 1, 2011 - 1:38:15 PM
Last modification on : Thursday, January 11, 2018 - 6:12:31 AM

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Laurent Berger, Christophe Breuil. Sur quelques représentations potentiellement cristallines de GL_2(Q_p). Asterisque, Société Mathématique de France, 2010, 330, pp.155--211. ⟨hal-00605397⟩

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