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arXiv · 1010.1654

Une étude des représentations modulo $p$ de SL(2,F)

Ramla Abdellatif
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Abstract

Following what Barthel-Livné and Breuil made for GL(2,F), we study mod $p$ representations of SL(2,F) for F a complete non-archimedean local field of residual characteristic p and with finite residue field. In particular, we link these representations to the mod p representations of GL(2,F) and, when F = Q_p, we give an explicit description of the so-called supersingular representations, that do appear by packets of size at most 2.

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BibTeXRIS

Ramla Abdellatif. 2010-10-08. Une étude des représentations modulo $p$ de SL(2,F). https://doi.org/10.24033/bsmf.2673

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