Endomorphism algebras of admissible $p$-adic representations of $p$-adic Lie groups
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- by Gabriel Dospinescu and Benjamin Schraen
- Represent. Theory 17 (2013), 237-246
- DOI: https://doi.org/10.1090/S1088-4165-2013-00432-6
- Published electronically: May 9, 2013
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Abstract:
We prove Schur’s lemma for absolutely irreducible admissible $p$-adic Banach space (respectively locally analytic) representations of $p$-adic Lie groups. We also prove finiteness results for the endomorphism algebra of an irreducible admissible representation.References
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Bibliographic Information
- Gabriel Dospinescu
- Affiliation: CMLS École Polytechnique, UMR CNRS 7640, F–91128 Palaiseau cedex, France
- Address at time of publication: UMPA ENS de Lyon (site Sciences) 46, allée d’Italie, 69364 Lyon cedex 07, France
- MR Author ID: 857587
- Email: gabriel.dospinescu@ens-lyon.fr
- Benjamin Schraen
- Affiliation: Laboratoire de Mathématiques de Versailles, UMR CNRS 8100, 45, avenue des États Unis - Bâtiment Fermat, F–78035 Versailles Cedex, France
- Email: benjamin.schraen@uvsq.fr
- Received by editor(s): July 27, 2011
- Received by editor(s) in revised form: December 7, 2012
- Published electronically: May 9, 2013
- © Copyright 2013 American Mathematical Society
- Journal: Represent. Theory 17 (2013), 237-246
- MSC (2010): Primary 20G05, 20G25, 11E57, 11E95
- DOI: https://doi.org/10.1090/S1088-4165-2013-00432-6
- MathSciNet review: 3053464