On the characters of unipotent representations of a semisimple $p$-adic group
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- by Ju-Lee Kim and George Lusztig
- Represent. Theory 17 (2013), 426-441
- DOI: https://doi.org/10.1090/S1088-4165-2013-00439-9
- Published electronically: August 2, 2013
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Abstract:
Let $G$ be a semisimple almost simple algebraic group defined and split over a nonarchimedean local field $K$ and let $V$ be a unipotent representation of $G(K)$ (for example, an Iwahori-spherical representation). We calculate the character of $V$ at compact very regular elements of $G(K)$.References
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Bibliographic Information
- Ju-Lee Kim
- Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139
- MR Author ID: 653104
- Email: julee@ math.mit.edu
- George Lusztig
- Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139
- MR Author ID: 117100
- Email: gyuri@ math.mit.edu
- Received by editor(s): December 12, 2012
- Received by editor(s) in revised form: December 24, 2012, and March 6, 2013
- Published electronically: August 2, 2013
- Additional Notes: Both authors are supported in part by the National Science Foundation
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Represent. Theory 17 (2013), 426-441
- MSC (2010): Primary 22E50, 20G05
- DOI: https://doi.org/10.1090/S1088-4165-2013-00439-9
- MathSciNet review: 3084245