Classification of 5-dimensional restricted Lie algebras over perfect fields, I

Iren Darijani; Hamid Usefi

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arXiv · 1412.8377

Classification of 5-dimensional restricted Lie algebras over perfect fields, I

Iren Darijani·Hamid Usefi

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Abstract

The purpose of this paper is to classify all $p$-nilpotent restricted Lie algebras of dimension 5 over perfect fields of characteristic $p\geq 5$. Our work builds upon the recent work of Schneider and Usefi on the classification of $p$-nilpotent restricted Lie algebras of dimension up to 4 over perfect fields of characteristic $p$. The method we use here to classify $p$-nilpotent restricted Lie algebras is the analogue of Skjelbred-Sund method for classifying nilpotent Lie algebras.

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Iren Darijani, Hamid Usefi. 2014-12-29. Classification of 5-dimensional restricted Lie algebras over perfect fields, I. https://arxiv.org/abs/1412.8377

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