A defining matrix is given for the solvable and complemental Lie algebras with a generator relation method.
2
在第二部分第一篇论文中,我们系统研究了二维非交换李代数及其全形的可解性、完备性与非半单性等性质。
In the first paper of the second part , it studies two dimensional noncommutative Lie algebra and its solvability, completeness and nonsemisimplicity and so on .
Theorem 3 Any enveloping Lie superalgebra of a solvable Lie triple supersystem is solvable, and if a Lie triple supersystem has some solvable enveloping Lie superalgebra, it is solvable.