ON LEVI'S THEOREM FOR LEIBNIZ ALGEBRAS

被引：99

作者：

Barnes, Donald W.

机构：

[1] Cremorne, NSW 2090

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2012年 / 86卷 / 02期

关键词：

Leibniz algebras; Levi's theorem;

D O I：

10.1017/S0004972711002954

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Lie algebra over a field of characteristic 0 splits over its soluble radical and all complements are conjugate. I show that the splitting theorem extends to Leibniz algebras but that the conjugacy theorem does not.

引用

页码：184 / 185

页数：2