【摘要】 利用Killing型来判断点YD-李代数的半单性,得出了如下结论:如果有限维点YD-李代数L的Killing型是非退化的,那么L是半单的,并且L是它本身的所有极小YD-理想的直和;这些极小YD-理想所对应的Killing型两两正交.更多还原

【Abstract】 The semisimplicity of pointed YD Lie algebras was characterized by means of Killing forms.It has been shown that if finite dimensional pointed YD Lie algebras L has a nondegenerate Killing forms,then L is semisimple and equals to the direct sum of its minimal pointed YD Lie ideals, and the Killing forms of the pointed YD Lie ideals are pairwise orthogonal.更多还原