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Construction of tame supercuspidal representations


Author: Jiu-Kang Yu
Journal: J. Amer. Math. Soc. 14 (2001), 579-622
MSC (2000): Primary 22E50, 11F70; Secondary 20G25
DOI: https://doi.org/10.1090/S0894-0347-01-00363-0
Published electronically: March 23, 2001
MathSciNet review: 1824988
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Abstract:

We give a quite general construction of irreducible supercuspidal representations and supercuspidal types (in the sense of Bushnell and Kutzko) of $p$-adic groups. In the tame case, the construction should include all known constructions, and it is expected that this gives all supercuspidal representations. We also give a conjectural Hecke algebra isomorphism, which can be used to analyze arbitrary irreducible admissible representations, following the ideas of Howe and Moy.


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Additional Information

Jiu-Kang Yu
Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08540
Address at time of publication: Department of Mathematics, University of Maryland, College Park, Maryland 20742
Email: yu@math.princeton.edu, yu@math.umd.edu

DOI: https://doi.org/10.1090/S0894-0347-01-00363-0
Keywords: Supercuspidal representation, Hecke algebra
Received by editor(s): August 30, 1999
Received by editor(s) in revised form: November 13, 2000
Published electronically: March 23, 2001
Additional Notes: The author was supported in part by grant DMS 9801633 from the National Science Foundation.
Article copyright: © Copyright 2001 American Mathematical Society

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