论文标题
Nilpotent Lie代数，有两个中心尺寸在有限场上
Nilpotent Lie algebras with two centralizer dimensions over a finite field
论文作者
论文摘要
Barnea和Isaacs的结果指出，如果$ L $是有限的尺寸nilpotent Lie代数，则具有两个不同的centralizer尺寸，则$ l $的nilpotency类是$ 2 $或$ 3 $。在本文中，我们将所有此类有限维度的$ 3 $ - 步骤Nilpotent Lie代数分类为有限的字段。
A result of Barnea and Isaacs states that if $L$ is a finite dimensional nilpotent Lie algebra with exactly two distinct centralizer dimensions, then nilpotency class of $L$ is either $2$ or $3$. In this article, we classify all such finite dimensional $3$-step nilpotent Lie algebras over a finite field.
