Journal article
Induction equivalence for equivariant D-modules on rigid analytic spaces
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
-
(Preview, Accepted manuscript, pdf, 720.3KB, Terms of use)
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- Publisher copy:
- 10.1090/ert/642
Authors
+ Engineering and Physical Sciences Research Council
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- Funder identifier:
- http://dx.doi.org/10.13039/501100000266
- Grant:
- EP/L005190/1
- Publisher:
- American Mathematical Society
- Journal:
- Representation Theory More from this journal
- Volume:
- 27
- Issue:
- 2023
- Pages:
- 177-247
- Publication date:
- 2023-05-17
- Acceptance date:
- 2023-01-10
- DOI:
- EISSN:
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1088-4165
- Language:
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English
- Keywords:
- Pubs id:
-
1325438
- Local pid:
-
pubs:1325438
- Deposit date:
-
2023-01-27
Terms of use
- Copyright holder:
- American Mathematical Society
- Copyright date:
- 2023
- Rights statement:
- © Copyright 2023 American Mathematical Society
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from American Mathematical Society at: https://doi.org/10.1090/ert/642
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