关于无限维完备Lie代数

On Infinite Dimensional Complete Lie Algebras

本文讨论了无限维Heisenberg代数，Virasoro代数与完备Lie代数的关系，用Kac-Moody代数及loop扩张构造了几类无限线完备Lie代数．

This paper discusses the relationship arnong the infinite dimensional Heisenberg algebras,Virasor algebras and Chaplete Lie algebras, and form a few kinds of infinite dimensional driplete Lie algebras from Kac-Mdriy algebras and the loop extension.