Reductive Group Actions and Their Invariants

还原群动作及其不变量

• 批准号: 9970165
• 负责人: Aise de Jong
• 金额: $ 5.39万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-07-01 至 2001-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9970165&HistoricalAwards=false
• 关键词: Reductive; Group; Actions; Their; Invariants

ROTA/DERKSEN, 9970165The proposer plans to investigate problems in the areas of constructive invariant theory, generalized quivers associated to reductive groups and automorphisms of affine spaces. In the first case the proposerwill refine his algorithm for computing reductive group invariants; in the second, with Weyman, apply quiver representations to reductive groups; in the last case look at automorphisms of affine space over the complex numbers. The theory of reductive groups aids in studying various symmetry properties of space from an algebraic point of view. Applications are to be found in chemistry and physics.

ROTA/DERKEN，9970165提议者计划研究建设性不变理论，与还原群体相关的广义质量和仿射空间自动形态的问题。在第一种情况下，提议者意想会完善其计算还原群体不变的算法；在第二个中，与韦曼一起，将颤抖的表示形式应用于还原群体；在最后一个情况下，请查看复数上仿射空间的自动形态。还原群的理论有助于从代数的角度研究空间的各种对称性。在化学和物理学中可以找到应用。