The supercuspidal representations of p-adic classical groups

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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.
Original languageEnglish
Pages (from-to)289-352
Number of pages64
JournalInventiones Mathematicae
Issue number2
Publication statusPublished - 2008

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