论文标题

2步nilpotent的几乎内部衍生物2属2

Almost inner derivations of 2-step nilpotent Lie algebras of genus 2

论文作者

Burde, Dietrich, Dekimpe, Karel, Verbeke, Bert

论文摘要

我们研究了几乎可以使用矩阵铅笔的$ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $的内部派生的内部派生。特别是,我们根据任意的代数封闭的特征,而不是$ 2 $和实际数字来确定此类代数的几乎所有内部​​派生。

We study almost inner derivations of $2$-step nilpotent Lie algebras of genus $2$, i.e., having a $2$-dimensional commutator ideal, using matrix pencils. In particular we determine all almost inner derivations of such algebras in terms of minimal indices and elementary divisors over an arbitrary algebraically closed field of characteristic not $2$ and over the real numbers.

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