The Jordan-Holder series of the locally analytic Steinberg representation


الملخص بالإنكليزية

We determine the composition factors of a Jordan-Holder 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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