Mathematical Sciences: P-groups & Infinite Dimensional Lie Algebras

数学科学：P 群

• 批准号: 9212608
• 负责人: Efim Zelmanov
• 金额: $ 5.65万
• 依托单位: University of Wisconsin-Madison
• 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: 1992-07-01 至 1994-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9212608&HistoricalAwards=false
• 关键词: Mathematical; Sciences; groups; & Infinite

This award supports research on several problems of finite p-groups, pro-p-groups, and infinite dimensional Lie algebras. All these problems are related to infinite-dimensional Lie algebras satisfying a polynomial identity and to Lie algebras with Engel's condition. This research is concerned with a mathematical object called a Lie algebra. Lie algebras arise from another object called a Lie group. An example of a Lie group is the rotations of a sphere where one rotation is followed by another. Lie groups and Lie algebras are important in areas involving analysis of spherical motion.

该奖项支持对有限p群、亲p群和无限维李代数的若干问题的研究。所有这些问题都与满足多项式恒等式的无限维李代数和具有恩格尔条件的李代数有关。这项研究涉及一个叫做李代数的数学对象。李代数是由另一个对象李群产生的。李群的一个例子是球体的旋转，其中一个旋转之后是另一个旋转。李群和李代数在球面运动分析中是很重要的。