The Jordan-Hölder series of the locally analytic Steinberg representation

2010/08/29 by Orlik, Sascha, Schraen, Benjamin · 2 citations
#22E50 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1008.4910

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.

Cited by

• On some non-principal locally analytic representations induced by Whittaker modules
• On some non-principal locally analytic representations induced by cuspidal Lie algebra representations

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