On Jordan-H\"older series of some locally analytic representations

TL;DR

This paper investigates the Jordan-Hölder series of certain locally analytic representations of p-adic Lie groups, focusing on those induced from locally algebraic representations of parabolic subgroups, to understand their composition factors.

Contribution

It provides new insights into the structure of locally analytic G-representations induced from parabolic subgroups, extending the understanding of their Jordan-Hölder series.

Findings

Characterization of composition factors of induced representations

Identification of conditions for irreducibility

Structural description of Jordan-Hölder series

Abstract

Let G be a p-adic Lie group. This paper is about the Jordan-Hoelder series of locally analytic G-representations which are induced from locally algebraic representations of a parabolic subgroup.