Mathematical Sciences: P-groups & Infinite Dimensional Lie Algebras

该奖项支持对有限p-群、准p-群和无限维李代数的几个问题的研究。所有这些问题都与满足多项式恒等式的无限维李代数和满足Engel条件的李代数有关。这项研究涉及一种名为李代数的数学对象。李代数起源于另一个叫做李群的物体。李群的一个例子是球体的旋转，其中一个旋转之后是另一个旋转。李群和李代数在涉及球面运动分析的领域中很重要。

This award supports research on several problems of finite p-groups, pro-p-groups, and infinite dimensional Lie algebras. All these problems are related to infinite-dimensional Lie algebras satisfying a polynomial identity and to Lie algebras with Engel's condition. 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.