Construction of tame supercuspidal representations

Yu, Jiu-Kang

doi:10.1090/S0894-0347-01-00363-0

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 -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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