Construction of tame supercuspidal representations

Yu, Jiu-Kang^1, 2

¹ Department of Mathematics, Princeton University, Princeton, New Jersey 08540
² Department of Mathematics, University of Maryland, College Park, Maryland 20742

Journal of the American Mathematical Society, Tome 14 (2001) no. 3, pp. 579-622

Résumé

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.

Détail

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

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