Irreducibility results for equivariant $\mathcal{D}$-modules on rigid analytic spaces

Abstract

We prove a general irreducibility result for geometrically induced coadmissible equivariant $\mathcal{D}$-modules on rigid analytic spaces. As an application, we geometrically reprove the irreducibility of certain locally analytic representations previously constructed by Orlik-Strauch.

56 pages