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

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Abstract

We prove that every smooth irreducible $F_{p}$ -linear representation of GL $_{2}$ ( $Q_{p}$ ) admits a central character.

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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