The algebraic and geometric classification of nilpotent binary Lie algebras

Hani Abdelwahab; Antonio Jesús Calderón; Ivan Kaygorodov

doi:10.1142/S0218196719500437

The algebraic and geometric classification of nilpotent binary Lie algebras

Rings and Algebras 2020-04-03 v2

Authors: 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 $\leq 6.$

Keywords

nilpotent binary lie algebras algebraic classification geometric classification anticommutative cd-algebras base field dimension 6

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@article{arxiv.1902.01706,
  title  = {The algebraic and geometric classification of nilpotent binary Lie algebras},
  author = {Hani Abdelwahab and Antonio Jesús Calderón and Ivan Kaygorodov},
  journal= {arXiv preprint arXiv:1902.01706},
  year   = {2020}
}

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arXiv admin note: text overlap with arXiv:1812.01442

The algebraic and geometric classification of nilpotent binary Lie algebras

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