The Jordan-Hölder series of the locally analytic Steinberg representation

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 by Orlik and Strauch.
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Contributor : Benjamin Schraen <>
Submitted on : Friday, January 20, 2012 - 2:13:17 PM
Last modification on : Thursday, February 7, 2019 - 4:57:26 PM

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  • HAL Id : hal-00661701, version 1
  • ARXIV : 1008.4910

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Sascha Orlik, Benjamin Schraen. The Jordan-Hölder series of the locally analytic Steinberg representation. Documenta Mathematica, Universität Bielefeld, 2014, 19, pp.647-671. ⟨hal-00661701⟩

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