Induction equivalence for equivariant D-modules on rigid analytic spaces

Konstantin Ardakov

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arXiv · 2009.02981

Induction equivalence for equivariant D-modules on rigid analytic spaces

Konstantin Ardakov

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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.

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BibTeX RIS

Konstantin Ardakov. 2021-01-05. Induction equivalence for equivariant D-modules on rigid analytic spaces. https://arxiv.org/abs/2009.02981

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