Journal article
Weyl groups, the Dirac inequality, and isolated unitary unramified representations
- Abstract:
- I present several applications of the Dirac inequality to the determination of isolated unitary representations and associated “spectral gaps” in the case of unramified principal series. The method works particularly well in order to attach irreducible unitary representations to the large nilpotent orbits (e.g., regular, subregular) in the Langlands dual complex Lie algebra. The results could be viewed as a p-adic analogue of Salamanca-Riba’s classification of irreducible unitary (g, K) -modules with strongly regular infinitesimal character.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 413.4KB, Terms of use)
-
- Publisher copy:
- 10.1016/j.indag.2021.09.004
Authors
- Publisher:
- Elsevier
- Journal:
- Indagationes Mathematicae More from this journal
- Volume:
- 33
- Issue:
- 1
- Pages:
- 1-23
- Publication date:
- 2021-09-20
- Acceptance date:
- 2021-03-26
- DOI:
- ISSN:
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0019-3577
- Language:
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English
- Keywords:
- Pubs id:
-
1169354
- Local pid:
-
pubs:1169354
- Deposit date:
-
2021-03-26
Terms of use
- Copyright holder:
- Royal Dutch Mathematical Society
- Copyright date:
- 2021
- Rights statement:
- © 2021 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
- Notes:
- This is the accepted manuscript version of the article, available under the terms of a Creative Commons, Attribution, Non-Commercial, No Derivatives licence. The final version is available online from Elsevier at: https://doi.org/10.1016/j.indag.2021.09.004
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