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The supercuspidal representations of p-adic classical groups

Shaun Stevens
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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.

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Shaun Stevens. 2007-11-12. The supercuspidal representations of p-adic classical groups. https://arxiv.org/abs/math/0607622

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