Mathematical Sciences: Nilpotent Conjugacy Classes and Representations of Real Semi-simple Lie Groups

数学科学：幂零共轭类和实半单李群的表示

• 批准号: 9214774
• 负责人: Donald King
• 金额: --
• 依托单位: Northeastern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-15 至 1993-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9214774&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Nilpotent; Conjugacy; Classes

This career advancement award supports the research of Professor King to study unipotent representations of a given semi- simple Lie group. This will require precise information on the classification and structure of the nilpotent conjugacy classes in the corresponding Lie algebra. 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.

这个职业发展奖支持的研究， 金教授研究一个给定的半幂表示， 简单李群这将需要关于 中幂零共轭类的分类和结构 对应的李代数 李群理论，以挪威人的荣誉命名 数学家Sophus Lie，一直是 世纪数学。 作为数学工具， 利用系统中固有的对称性， 李群理论对数学产生了深远的影响 本身，特别是在分析和数论，并根据 理论物理学，特别是量子力学和初等 粒子物理学