1. 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。
2. Moreover, the inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras.
   【摘要】： 正 It is proved that the exact Borel subalgebras of a basic quasi-hereditary algebra are conjugate to each other.

声明：以上例句、词性分类均由互联网资源自动生成，未经过人工审核，其表达内容亦不代表本软件的观点；若发现问题，欢迎向我们指正。