Mathematical Sciences: Infinite Dimensional Lie Groups

数学科学：无限维李群

• 批准号: 8715311
• 负责人: Joshua Leslie
• 金额: $ 13.11万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-09-01 至 1990-09-01
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8715311&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Infinite; Dimensional; Lie

Joshua Leslie will continue his research in the theory of infinite dimensional Lie groups. This is an area of growing importance because of its physical applications. The major objective is to investigate the extent to which the well known finite dimensional theory can be adapted to this more difficult setting. Leslie will use his recently established techniques to try to associate Lie groups to certain completions of Kac-Moody Lie algebras. This is a difficult problem but his functional analytic methods have already proved to be successful when applied to numerous significant classes of examples.

约书亚莱斯利将继续他的研究理论， 无限维李群这是一个不断增长的领域 由于其物理应用的重要性。主要 目的是调查众所周知的 有限维理论可以适用于这个更困难的 设置. Leslie会用他最近建立的技术来尝试 将李群与Kac-Moody李的某些完备化联系起来 代数这是一个困难的问题，但他的功能分析 这些方法在应用于 许多重要的例子。