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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APA Style

Ardakov, K., & Johansson, C. (2016). A canonical dimension estimate for non-split semisimple p-adic Lie groups. Representation Theory, 20, 128–138.

MLA Style

Ardakov, K, and C Johansson. “A Canonical Dimension Estimate for Non-Split Semisimple p-Adic Lie Groups.” Representation Theory, vol. 20, 2016, pp. 128–38.

Chicago Style

Ardakov, K, and C Johansson. 2016. “A Canonical Dimension Estimate for Non-Split Semisimple p-Adic Lie Groups.” Representation Theory 20: 128–38.
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Files:: Ardakov and Johansson, A canonical dimension estimate for non-...

(Preview, Accepted manuscript, pdf, 423.7KB, Terms of use)

Publisher copy:: 10.1090/ert/479

Authors

+ Ardakov, K More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Johansson, C More by this author

Role:: Author

Publisher:: American Mathematical Society
Journal:: Representation Theory More from this journal
Volume:: 20
Pages:: 128-138
DOI:: 10.1090/ert/479

Keywords:: math.RT

math.NT
Pubs id:: pubs:527433
UUID:: uuid:0644ca98-e6a2-4753-8ed0-88de3c48a6f7
Local pid:: pubs:527433
Source identifiers:: 527433
Deposit date:: 2016-02-06
ARK identifier:: ark:/29072/ora_0644ca98e6a247538ed088de3c48a6f7

Terms of use

Copyright holder:: American Mathematical Society
Notes:: 10 pages. Comments welcome © 2016 American Mathematical Society

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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