A canonical dimension estimate for non-split semisimple p-adic Lie groups
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 semis...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Published: |
American Mathematical Society
2016
|
| _version_ | 1797051538830524416 |
|---|---|
| author | Ardakov, K Johansson, C |
| author_facet | Ardakov, K Johansson, C |
| author_sort | Ardakov, K |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T18:20:55Z |
| format | Journal article |
| id | oxford-uuid:0644ca98-e6a2-4753-8ed0-88de3c48a6f7 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:20:55Z |
| publishDate | 2016 |
| publisher | American Mathematical Society |
| record_format | dspace |
| spelling | oxford-uuid:0644ca98-e6a2-4753-8ed0-88de3c48a6f72022-03-26T09:01:37ZA canonical dimension estimate for non-split semisimple p-adic Lie groupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0644ca98-e6a2-4753-8ed0-88de3c48a6f7Symplectic Elements at OxfordAmerican Mathematical Society2016Ardakov, KJohansson, CWe 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. |
| spellingShingle | Ardakov, K Johansson, C A canonical dimension estimate for non-split semisimple p-adic Lie groups |
| title | A canonical dimension estimate for non-split semisimple p-adic Lie
groups |
| title_full | A canonical dimension estimate for non-split semisimple p-adic Lie
groups |
| title_fullStr | A canonical dimension estimate for non-split semisimple p-adic Lie
groups |
| title_full_unstemmed | A canonical dimension estimate for non-split semisimple p-adic Lie
groups |
| title_short | A canonical dimension estimate for non-split semisimple p-adic Lie
groups |
| title_sort | canonical dimension estimate for non split semisimple p adic lie groups |
| work_keys_str_mv | AT ardakovk acanonicaldimensionestimatefornonsplitsemisimplepadicliegroups AT johanssonc acanonicaldimensionestimatefornonsplitsemisimplepadicliegroups AT ardakovk canonicaldimensionestimatefornonsplitsemisimplepadicliegroups AT johanssonc canonicaldimensionestimatefornonsplitsemisimplepadicliegroups |