Induction equivalence for equivariant D-modules on rigid analytic spaces
Representation Theory
2021-01-07 v2 Number Theory
Abstract
We prove an Induction Equivalence and a Kashiwara Equivalence for coadmissible equivariant D-modules on rigid analytic spaces. This allows us to completely classify such objects with support in a single orbit of a classical point with co-compact stabiliser. As an application, we use the locally analytic Beilinson-Bernstein equivalence to construct new examples of large families of topologically irreducible locally analytic representations of certain compact semisimple p-adic Lie groups.
Cite
@article{arxiv.2009.02981,
title = {Induction equivalence for equivariant D-modules on rigid analytic spaces},
author = {Konstantin Ardakov},
journal= {arXiv preprint arXiv:2009.02981},
year = {2021}
}