Mathematical Sciences: Modular Interfaces, February 18-20, 1995, University of California, Riverside

数学科学：模块化接口，1995 年 2 月 18-20 日，加州大学河滨分校

• 批准号: 9500848
• 负责人: Vyjayanthi Chari
• 金额: $ 0.6万
• 依托单位: University of California-Riverside
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-02-01 至 1996-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9500848&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Modular; Interfaces; February

This award supports a conference on the interaction between the fields of Lie algebras in positive characteristic, quantum groups, and Lie superalgebras. In the last several years, there have been important connections between the representation theory of Lie algebras in characteristic p and the representation theory of quantum groups. The relation between Lie algebras in prime characteristic and Lie superalgebras dates back to the 1970's, but is still not fully understood. These problems will be discussed at this conference. The time and place for the conference are chosen to honor Professor Richard E. Block upon his retirement. His work has had a deep impact on the subject. This conference 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 sperical motion.

该奖项支持召开关于李代数正特征、量子群和李超代数领域之间相互作用的会议。近年来，李代数在特征p上的表示理论与量子群的表示理论之间产生了重要的联系。李代数素数特征与李超代数之间的关系早在20世纪70年代就有了，但至今仍未被完全理解。这些问题将在这次会议上讨论。会议选择的时间和地点是为了纪念理查德·e·布洛克教授的退休。他的作品对这一主题产生了深远的影响。这次会议关注的是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。李群和李代数在涉及到精子运动分析的领域是重要的。