有限维李代数Killing型一些性质

Some Results of Killing-shape about Finite Dimensional Lie Algebra

定义了Killing的正定、半正定和负定,讨论了域F上有限维李代数,特别是幂零李代数Killing型的一些结果.李代数g的对偶空间g⊥对讨论其结构有很重要的意义,但经典李代数对g⊥的结构几乎未作讨论,对如何计算g的对偶空间g⊥给出了一些细化方法.

We study killing-shape of finite dimensional Lie algebra. At first we discuss some interesting quality of killing-shape and we find out a slender way to compute dual subspace of the Lie algebra.