We present a computational approach to determine the space of almost-inner derivations of a finite dimensional Lie algebra given by a structure constant table. We also present an example of a Lie algebra for which the quotient algebra of the almost-inner derivations modulo the inner derivations is non-abelian. This answers a question of Kunyavskii and Ostapenko.

中文翻译：

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一种近内推导的计算方法

我们提出了一种计算方法来确定由结构常数表给出的有限维李代数的几乎内推导的空间。我们还提出了一个李代数的例子，其中几乎内导数模内导数的商代数是非阿贝尔的。这回答了库尼亚夫斯基和奥斯塔彭科的问题。