# Induction equivalence for equivariant D-modules on rigid analytic spaces

@article{Ardakov2020InductionEF, title={Induction equivalence for equivariant D-modules on rigid analytic spaces}, author={Konstantin Ardakov}, journal={arXiv: Representation Theory}, year={2020} }

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.

## 9 Citations

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