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.

该奖项支持一个关于积极特征，量子群和谎言超级统治的谎言代数领域之间相互作用的会议。 在过去的几年中，特征p中的代数代表理论与量子群的表示理论之间存在重要联系。 在主要特征和谎言中，谎言代数之间的关系可以追溯到1970年代，但仍未完全理解。 这些问题将在本次会议上讨论。 会议的时间和地点被选择以纪念理查德·E·布洛克教授退休。 他的工作对这个问题产生了深远的影响。 这次会议与一个名为Lie代数的数学对象有关。 谎言代数来自另一个称为谎言组的对象。 谎言组的一个例子是一个球体的旋转，其中一个旋转后面是另一个旋转。 谎言组和谎言代数在涉及孢子运动的区域中很重要。