JournalsdmVol. 19pp. 647–671

The Jordan-Hölder series of the locally analytic Steinberg representation

  • Sascha Orlik

    Fachgruppe Mathematik Laboratoire de Mathématiques und Informatik de Versailles Bergische Universität Wuppertal UMR CNRS 8100 45 Gaußstrasse 20 avenue des États Unis 42119 Wuppertal - Bhatatiment Fermat Germany F-78035 Versailles Cedex

  • Benjamin Schraen

    France
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Abstract

We determine the composition factors of a Jordan-Hölder series including multiplicities of the locally analytic Steinberg representation. For this purpose, we prove the acyclicity of the evaluated locally analytic Tits complex giving rise to the Steinberg representation. Further we describe some analogue of the Jacquet functor applied to the irreducible principal series representation constructed in citeOS2.

Cite this article

Sascha Orlik, Benjamin Schraen, The Jordan-Hölder series of the locally analytic Steinberg representation. Doc. Math. 19 (2014), pp. 647–671

DOI 10.4171/DM/459