P-Groups & Infinite Dimensional Lie Algebras

P组

• 批准号: 9400466
• 负责人: Efim Zelmanov
• 金额: $ 7.5万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-05-15 至 1997-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9400466&HistoricalAwards=false
• 关键词: Groups; & Infinite; Dimensional; Lie

9400466 Zelmanov This award supports research on several problems concerning finite p-groups, pro-p groups, and infinite dimensional Lie algebras. All these problems are related to algebras satisfying a polynomial identity, to Lie algebras with Engel's condition and to coordinatization theorems. 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.

9400466泽尔马诺夫这个奖项支持关于有限p-群、prop群和无限维李代数的几个问题的研究。所有这些问题都与满足多项式恒等式的代数有关，与满足Engel条件的李代数有关，也与协调定理有关。这项研究涉及一种名为李代数的数学对象。李代数起源于另一个叫做李群的物体。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。李群和李代数在涉及球面运动分析的领域中很重要。