汪冰;陈正新;

• 1:福建师范大学数学与计算机科学学院

摘要(Abstract)：

设L是特征为零的代数封闭域F上的有限维单李代数.如果f:L→L为可逆映射,且满足[f(x),f(y)]=[x,y],对任意的x,y∈L,则称f是L上保强交换性的非线性可逆映射.证明L上保强交换性的可逆映射只能是恒等映射或负恒等映射.若映射δ:L→L满足[δ(x),y]+[x,δ(y)]=0,对任意的x,y∈L,则称δ为L上的非线性强积零导子.证明了单李代数L上非线性强积零导子只能是零映射.

关键词(KeyWords)： 单李代数;非线性映射;保强交换性;非线性强积零导子

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金资助项目(11101084)

作者(Authors): 汪冰;陈正新;

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