Central Characters for Smooth Irreducible Modular Representations of GL$_2$ ($Q_p$)

Laurent Berger

doi:10.4171/rsmup/128-1

JournalsrsmupVol. 128pp. 1–6

Central Characters for Smooth Irreducible Modular Representations of GL $_2$ ( $Q_p$ )

Laurent Berger
Université de Lyon, France

Download PDF

Abstract

We prove that every smooth irreducible $F_p$ -linear representation of GL $_2$ ( $Q_p$ ) admits a central character.

Cite this article

Laurent Berger, Central Characters for Smooth Irreducible Modular Representations of GL $_2$ ( $Q_p$ ). Rend. Sem. Mat. Univ. Padova 128 (2012), pp. 1–6

DOI 10.4171/RSMUP/128-1