The algebraic and geometric classification of nilpotent binary Lie algebras

Abstract

The paper is devoted to give the complete algebraic classification of nilpotent binary Lie algebras of dimension $\le 6$ over an arbitrary base field $\mathbb{F}$ of characteristic not $2$ and the complete geometric classification of nilpotent binary Lie algebras of dimension $6$ over $\mathbb{C}.$ As an application, we have the algebraic and geometric classification of nilpotent anticommutative $\mathfrak{CD}$-algebras of dimension $\le 6.$

arXiv admin note: text overlap with arXiv:1812.01442