Rendiconti del Seminario Matematico della Università di Padova


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Volume 128, 2012, pp. 1–6
DOI: 10.4171/RSMUP/128-1

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

Laurent Berger[1]

(1) Université de Lyon, France

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

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Berger Laurent: Central Characters for Smooth Irreducible Modular Representations of GL$_2$ ($Q_p$). Rend. Sem. Mat. Univ. Padova 128 (2012), 1-6. doi: 10.4171/RSMUP/128-1