论文标题
紧凑型半完整谎言中的换向器的注释代数
A note on commutators in compact semisimple Lie algebras
论文作者
论文摘要
给定两个元素$ a，b $在紧凑的半胶结谎言代数中，我们表明有一个常规元素$ x $ and元素$ y，z $，带有$ a = [x，y] $和$ b = [x，z] $。在证明的过程中，我们还显示，Lie代数中最多的每个线性子空间$ V $都包含一个CSA。
Given two elements $A,B$ in a compact semisimple Lie algebra, we show that there is a regular element $X$ and elements $Y,Z$ with $A=[X,Y]$ and $B=[X,Z]$. In the course of the proof we show also that every linear subspace $V$ of codimension at most 2 in the Lie algebra contains a CSA.
