Mathematical Sciences: Algebraic Transformation Groups & Invariant Theory

这个项目是关于代数群的研究。 首席研究员将研究还原剂的作用 复n-空间上的复代数群， 这些行为不能线性化。 他还将调查 上的微分算子代数 一个复仿射簇的商空间是双生成的。 支持的研究涉及不变量理论和代数 组 一般来说，不变量理论涉及以下行为： 流形或线性空间上的线性代数群， 下空间的数学不变量的确定 这些群体行为。

This project is concerned with research on algebraic groups. The principal investigator will study the action of a reductive complex algebraic group on complex n-space in an effort to classify those actions which cannot be linearized. He will also investigate the conjecture that the algebra of differential operators on quotient spaces of a complex affine variety is finitely generated. The research supported involves invariant theory and algebraic groups. In general, invariant theory involves the actions of linear algebraic groups on manifolds or linear spaces and the determination of the mathematical invariants of the space under these group actions.