A Mackey criterion for locally analytic representations

Abstract

We prove an analogue of Mackey's irreducibility criterion for compactly induced locally analytic representations of $p$-adic groups, where we induce from an open subgroup which is compact mod centre. We also discuss several examples.

22 pages, comments welcome. This paper was first conceived as an appendix to arXiv:2505.04355, before we realized that the correct formulation of the criterion does not apply there. This is now an updated and expanded version, including several new examples