The supercuspidal representations of p-adic classical groups

Details The supercuspidal representations of p-adic classical groups The supercuspidal representations of p-adic classical groups

2006-07-25

arxiv.org/abs/math/0607622v2

Mathematics

Representation Theory

55 pages -- minor changes from 1st version (mostly in sections 2.2, 4.2 and 6.2). To appear in Inventiones mathematicae, 2008

Scientific paper

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.

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