The supercuspidal representations of p-adic classical groups

Shaun Stevens

doi:10.1007/s00222-007-0099-1

The supercuspidal representations of p-adic classical groups

Shaun Stevens

Research output: Contribution to journal › Article › peer-review

52 Citations (Scopus)

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.

Original language	English
Pages (from-to)	289-352
Number of pages	64
Journal	Inventiones Mathematicae
Volume	172
Issue number	2
DOIs	https://doi.org/10.1007/s00222-007-0099-1
Publication status	Published - 2008

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10.1007/s00222-007-0099-1

Cite this

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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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AB - 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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DO - 10.1007/s00222-007-0099-1

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JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

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