Lie Groups

李群

• 批准号: 9321285
• 负责人: Joseph Wolf
• 金额: $ 7.43万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-06-15 至 1998-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9321285&HistoricalAwards=false
• 关键词: Lie; Groups

9321285 Wolf Wolf will continue his research on Lie groups, harmonic analysis and representation theory, with applications to complex analysis, riemannian geometry, numerical analysis and control theory. He will continue his work on infinite dimensional Lie groups that are direct limits of finite dimensional groups, and will investigate questions in control theory that are essentially questions of representation theory. The theory of Lie groups, named in honor of the Norwegian mathematician Sophus Lie, has been one of the major themes in twentieth century mathematics. As the mathematical vehicle for exploiting the symmetries inherent in a system, the representation theory of Lie groups has had a profound impact upon mathematics itself, particularly in analysis and number theory, and upon theoretical physics, especially quantum mechanics and elementary particle physics. ***

小行星9321285 沃尔夫将继续他的研究李群，调和分析和代表性理论，应用到复杂的分析，黎曼几何，数值分析和控制理论。 他将继续他的工作无限维李群是直接限制有限维群体，并将调查问题的控制理论，基本上是问题的代表性理论。 李群理论是以挪威数学家Sophus Lie的荣誉命名的，是世纪数学的重要课题之一。 李群表示论作为利用系统中固有对称性的数学工具，对数学本身，特别是分析和数论，以及理论物理学，特别是量子力学和基本粒子物理学产生了深远的影响。 ***