A spectral gap theorem in simple Lie groups

• 成果类型: Article
• 署名作者: Benoist, Yves; de Saxce, Nicolas
• 署名单位: Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Centre National de la Recherche Scientifique (CNRS); Universite Paris 13
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-015-0636-2
• 发表日期: 2016
• 页码: 337-361
• 关键词: linear-groups; SUBGROUPS; su(2)

摘要

We establish the spectral gap property for dense subgroups generated by algebraic elements in any compact simple Lie group, generalizing earlier results of Bourgain and Gamburd for unitary groups.