The nilpotent Filippov algebra of class two plays an essential role in some geometric problems, and the classification of nilpotent Lie algebras of class two is one of the most important issues in Lie algebras. In this paper, we classify 9-dimensional nilpotent 3-ary algebras of class two over an arbitrary field.

中文翻译：

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关于二类9维幂等三进制代数的分类

第二类的幂零Filippov代数在某些几何问题中起着至关重要的作用，第二类的幂等李代数的分类是李代数中最重要的问题之一。在本文中，我们在任意场上对第二类的9维幂等三进制代数进行分类。