论文标题
谎言代数的元素在其所有表示形式中表现出色
Elements of a Lie algebra acting nilpotently in all its representations
论文作者
论文摘要
在其所有表示中以lie代数作用的元素代数的元素的等效条件。也就是说,它应该属于派生的代数,并通过对相应(半imple)商代数的nilpotent元素进行分解。
An equivalent condition for an element of a Lie algebra acting nilpotently in all its representations is obtained. Namely, it should belong to the derived algebra and go via factoring over the radical to a nilpotent element of the corresponding (semisimple) quotient algebra.