Journal article
A canonical dimension estimate for non-split semisimple p-adic Lie groups
- Abstract:
- We prove that the canonical dimension of an admissible Banach space or a locally analytic representation of an arbitrary semisimple p-adic Lie group is either zero or at least half the dimension of a non-zero coadjoint orbit. This extends the results of Ardakov-Wadsley and Schmidt in the split semisimple case.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- Publisher:
- American Mathematical Society Publisher's website
- Journal:
- Representation Theory Journal website
- Volume:
- 20
- Pages:
- 128-138
- DOI:
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- Copyright holder:
- American Mathematical Society
- Notes:
- 10 pages. Comments welcome © 2016 American Mathematical Society
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