The Jordan-Hölder series of the locally analytic Steinberg representation

Details The Jordan-Hölder series of the locally analytic Steinberg representation The Jordan-Hölder series of the locally analytic Steinberg representation

2010-08-29

arxiv.org/abs/1008.4910v1

Mathematics

Representation Theory

27 pages

Scientific paper

We determine the composition factors of a Jordan-H\"older 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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