Using the notion of coefficient matrix and maximal element.We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.
利用系数矩阵和极大项，证明了这类李代数是半单李代数且没有二维交换子代数。
Lie algebra
英语例句库
In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.
文章通过李子群的性质得出了李群的两个李子群的交依然是李子群的结论,进而得出这一李子群的李代数形式。
中文百科
李代数
数学上，李代数是一个代数结构，主要用于研究象李群和微分流形之类的几何对象。李代数因研究无穷小变换的概念而引入。“李代数”（以索菲斯·李命名）一词是由赫尔曼·外尔在1930年代引入的。在旧文献中，无穷小群指的就是李代数。
英语百科
Lie algebra 李代数
In mathematics, a Lie algebra (/liː/, not /laɪ/) is a vector space together with a non-associative multiplication called "Lie bracket" ![[x, y]](/uploads/202501/24/8ca042e8ff30aba99a78e069db08b58a0403.png)
. When an algebraic product is defined on the space, the Lie bracket is the commutator ![[x,y] = xy - yx](/uploads/202501/24/2d4099ee292ebfa424a594a8233f6a380403.png)
.
Lie algebras were introduced to study the concept of infinitesimal transformations. Hermann Weyl introduced the term "Lie algebra" (after Sophus Lie) in the 1930s. In older texts, the name "infinitesimal group" is used.
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