The supercuspidal representations of p-adic classical groups

• 成果类型: Article
• 署名作者: Stevens, Shaun
• 署名单位: University of East Anglia
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-007-0099-1
• 发表日期: 2008
• 页码: 289-352
• 关键词: gsp(4)

摘要

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.