A nonhomogeneous orbit closure of a diagonal subgroup

• 成果类型: Article
• 署名作者: Maucourant, Francois
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.171.557
• 发表日期: 2010
• 页码: 557-570
• 关键词: invariant; conjecture; lattices; FLOWS; sets

摘要

Let G = SLl(n, R) with n >= 6. We construct examples of lattices F C G, subgroups A of the diagonal group D and points x is an element of G/Gamma such that the closure of the orbit Ax is not homogeneous and such that the action of A does not factor through the action of a one-parameter nonunipotent group. This contradicts a conjecture of Margulis.