Construction of tame supercuspidal representations

Yu, Jiu-Kang

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

Construction of tame supercuspidal representations
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by Jiu-Kang Yu

J. Amer. Math. Soc. 14 (2001), 579-622

DOI: https://doi.org/10.1090/S0894-0347-01-00363-0

Published electronically: March 23, 2001

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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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