The supercuspidal representations of p-adic classical groups

2006/07/25 by Shaun Stevens, Stevens, Shaun · 3 citations
Mathematics · #22E50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.math/0607622

openalex publication_date 2006/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Buildings of classical groups and centralizers of Lie algebra elements

Cited by

• An introduction to representations of p-adic groups
• Types and collapse for cuspidal representations of groups acting on trees
• Bound on multiplicities of symmetric pairs over p-adic fields

Related

• Distinguished Tame Supercuspidal Representations and Odd Orthogonal Periods
• On generic supercuspidal representations of Sp_2n
• Characterization of supercuspidal representations and very regular elements
• Supercuspidal representations: construction, classification, and characters
• Progrès récents sur les représentations supercuspidales