The Jordan-Hölder series of the locally analytic Steinberg representation (Q462469)

The authors determine the composition factors of a Jordan-Hölder series including multiplicities of the locally analytic Steinberg representation. For this purpose, they prove the acyclicity of the evaluated locally analytic Tits complex giving rise to the Steinberg representation. Further they describe some analogue of the Jacquet functor applied to the irreducible principal series representation constructed in [\textit{S. Orlik} and \textit{M. Strauch}, ``On the Jordan-Hölder series of locally analytic principal series representations'', J. Am. Math. Soc. 28, No. 1, 99--157 (2015)].