The supercuspidal representations of p-adic classical groups

Abstract

Let G be a unitary, symplectic or special orthogonal group over a locally compact non-archimedean local field of odd residual characteristic. We construct many new supercuspidal representations of G, and Bushnell-Kutzko types for these representations. Moreover, we prove that every irreducible supercuspidal representation of G arises from our constructions.

55 pages -- minor changes from 1st version (mostly in sections 2.2, 4.2 and 6.2). To appear in Inventiones mathematicae, 2008 (DOI is not yet active as at 12 Nov 2007)

References in corpus (1)

• Buildings of classical groups and centralizers of Lie algebra elements

Cited by in corpus (1)

• Covers for self-dual supercuspidal representations of the Siegel Levi subgroup of classical p-adic groups