本文将应用广义限制李代数的概念来研究具有三角分解李代数的积分元和中心扩张的关系.对于给定的广义限制普遍包络代数,我们确定了它的积分元并且提供了一种计算dim H2(L,F)的方法.

In this paper, we apply the concept of the generalized restricted Lie algebra to study the relation of the integral and central extensions of a Lie algebra with a triangular decomposition. We determine the left integral of a given generalized restricted universal enveloping algebra u(?)L(L), and give a method to compute dimH2(L,F).