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The supercuspidal representations of p-adic classical groups

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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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  1. School of Mathematics, University of East Anglia, NR4 7TJ, Norwich, United Kingdom

    Shaun Stevens

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  1. Shaun Stevens
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Stevens, S. The supercuspidal representations of p-adic classical groups. Invent. math. 172, 289–352 (2008). https://doi.org/10.1007/s00222-007-0099-1

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  • DOI: https://doi.org/10.1007/s00222-007-0099-1

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