P-Groups & Infinite Dimensional Lie Algebras

小行星9400466 该奖项支持有关有限p群，pro-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代数、满足恩格尔的条件的李代数和坐标化定理有关。 这项研究涉及一个称为李代数的数学对象。 李代数起源于另一个称为李群的对象。 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。

9400466 Zelmanov This award supports research on several problems concerning finite p-groups, pro-p groups, and infinite dimensional Lie algebras. All these problems are related to algebras satisfying a polynomial identity, to Lie algebras with Engel's condition and to coordinatization theorems. 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.