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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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Publisher copy:
10.1090/ert/479

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Keywords:
Pubs id:
pubs:527433
UUID:
uuid:0644ca98-e6a2-4753-8ed0-88de3c48a6f7
Local pid:
pubs:527433
Source identifiers:
527433
Deposit date:
2016-02-06

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