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arXiv · 1902.01706

The algebraic and geometric classification of nilpotent binary Lie algebras

Hani Abdelwahab·Antonio Jesús Calderón·Ivan Kaygorodov
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Abstract

The paper is devoted to give the complete algebraic classification of nilpotent binary Lie algebras of dimension $\leq 6$ 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 $\leq 6.$

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Hani Abdelwahab, Antonio Jesús Calderón, Ivan Kaygorodov. 2019-02-02. The algebraic and geometric classification of nilpotent binary Lie algebras. https://doi.org/10.1142/s0218196719500437

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