Mathematical Sciences: Algebraic Combinations

数学科学：代数组合

• 批准号: 9101898
• 负责人: John Stembridge
• 金额: $ 7.39万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-01 至 1994-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9101898&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Algebraic; Combinations

This award supports the research of Professor J. Stembridge to work in combinatorics. He intends to investigate the theory of immanants, study symmetric functions, the representations of Lie superalgebras and projective representation of Weyl groups. He also hopes to find a faster algorithm for computing plethysms relevant to classical invariant theory. The research is in the general area of combinatorics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And so, it is extremely important to modern communications, for example the design of large networks as in telephone systems and the design of algorithms in computer science.

该奖项支持J.Stembridge教授从事组合学的研究。他打算研究内蕴理论，研究对称函数，李超代数的表示和Weyl群的射影表示。他还希望找到一种更快的算法来计算与经典不变量理论相关的多重性。这项研究属于组合学的一般领域。组合学试图找到有效的方法来研究如何组织离散的对象集合。因此，它对现代通信极其重要，例如电话系统中的大型网络设计和计算机科学中的算法设计。