Mathematical Sciences: Lie Algebras and p-Groups

数学科学：李代数和 p 群

• 批准号: 9115984
• 负责人: J. Marshall Osborn
• 金额: $ 3.95万
• 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: 1992-03-15 至 1994-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9115984&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Lie; Algebras; Groups

This award supports the visit of three Soviet mathema- ticians, A.I. Kostrikin, M.I. Kuznetsov, and A.A. Premet, to the University of Wisconsin. They will join the principal investigators and other members of the U.S. community in joint studies and discussions on simple Lie algebras of prime characteristic and their representations, finite p-groups, and other closely related topics in algebra. The problems to be investigated are all directly related to the theory of Lie algebras and primarily to the theory of Lie algebras of Cartan type. They have many common threads suggesting that there are certain underlying principles that could explain the common phenomena. 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.

该奖项支持三位苏联数学家A.I.科斯特列金、M.I.库兹涅佐夫和A.A.普雷米特访问威斯康星大学。他们将与主要研究人员和美国社会的其他成员一起，共同研究和讨论具有素数特征的单李代数及其表示，有限p-群，以及代数中其他密切相关的主题。所要研究的问题都与李代数理论直接相关，主要与Cartan型李代数理论有关。它们有许多共同的线索，表明有某些潜在的原则可以解释常见的现象。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。