• Corpus ID: 221516170

Induction equivalence for equivariant D-modules on rigid analytic spaces

  title={Induction equivalence for equivariant D-modules on rigid analytic spaces},
  author={Konstantin Ardakov},
  journal={arXiv: Representation Theory},
  • K. Ardakov
  • Published 7 September 2020
  • Mathematics
  • arXiv: Representation Theory
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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