Central characters for smooth irreducible modular representations of GL_2(Q_p)

Laurent Berger (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

We prove that every smooth irreducible F_p^alg-linear representation of GL_2(Q_p) admits a central character.

Domaines: Théorie des représentations [math.RT]; Théorie des nombres [math.NT]

Laurent Berger. Central characters for smooth irreducible modular representations of GL_2(Q_p). Rendiconti del Seminario Matematico della Università di Padova, 2012, 128, pp.1--6. ⟨hal-00605966⟩