Parametrizing nilpotent orbits via Bruhat-Tits theory

• 成果类型: Article
• 署名作者: DeBacker, S
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/3597191
• 发表日期: 2002
• 页码: 295-332
• 关键词: minimal k-types; p-adic groups

摘要

Let k denote a field with nontrivial discrete valuation. We assume that k is complete with perfect residue field. Let G be the group of k-rational points of a reductive, linear algebraic group defined over k. Let g denote the Lie algebra of G. Fix r is an element of R. Subject to some restrictions, we show that the set of distinguished degenerate Moy-Prasad cosets of depth r (up to an equivalence relation) parametrizes the nilpotent orbits in g.