Mathematical Sciences: Research Proposal in Representation Theory

该奖项支持对表征理论的研究， 李代数 首席研究员将继续研究 某些向量场代数李上同调 他还将 考虑Kac-Moody代数的模表示 临界水平。 这项研究涉及一个数学对象， 李代数 李代数起源于另一个叫做 李群。 李群的一个例子是一个 一个旋转之后是另一个旋转的球体。 李群和 李代数在涉及以下分析的领域中是重要的： 球面运动

This award supports research on the representation theory of Lie algebras. The principal investigator will continue work on the Lie cohomology of some vector fields algebras. He will also consider the modular representations of Kac-Moody algebras at the critical level. This research 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 spherical motion.