The supercuspidal representations of p-adic classical groups
表示论
2007-11-12 v2
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.
引用
@article{arxiv.math/0607622,
title = {The supercuspidal representations of p-adic classical groups},
author = {Shaun Stevens},
journal= {arXiv preprint arXiv:math/0607622},
year = {2007}
}
备注
55 pages -- minor changes from 1st version (mostly in sections 2.2, 4.2 and 6.2). To appear in Inventiones mathematicae, 2008 (DOI is not yet active as at 12 Nov 2007)