Mathematical Sciences: Modular Representations of Finite Groups

数学科学：有限群的模表示

• 批准号: 9001689
• 负责人: Jon Carlson
• 金额: $ 12.32万
• 依托单位: University of Georgia Research Foundation Inc
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-01 至 1993-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9001689&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Modular; Representations; Finite

This project is an investigation into the representation theory and cohomology of finite groups over fields of prime characteristic. Of particular interest is the structure of modules and the homological properties of modules. The p+incipal investigator will work on the complexes associated to polynomial subrings of the cohomology ring of a group. He will also study topological applications of the theory of varieties and cohomology rings. The research supported concerns the representation of finite groups over fields. The structure of the groups is realized through the action of the groups as transformations on spaces. This is currently one of the most active areas of pure algebra.

这个项目是一个调查的代表性 素域上有限群的理论与上同调 特色特别感兴趣的是 模和模的同调性质的 p+ inUNRinvestigator将研究与 群的上同调环的多项式子环。他将 我还研究簇的拓扑应用 上同调环 该研究支持的关注的代表性， 域上的有限群组的结构是 通过集团的行动实现的转变， 空间.这是目前最活跃的纯 代数