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October 20, 2025Open Access

Classification of restricted Lie algebras of dimension 4

Key Points

This work successfully classifies restricted lie algebras of dimension four over algebraically closed fields.
The classification builds on existing studies, notably those by Wang and his collaborators for lower dimensions.
The study focuses on the implications of these classifications in the context of positive characteristic fields.
Further research may benefit from this classification in advancing understanding in the field of algebra.

Abstract

Restricted Lie algebras of dimension up to 3 over algebraically closed fields of positive characteristic were classified by Wang and his collaborators in 25, 19. In this paper, we obtain a classification of restricted Lie algebras of dimension 4 over such fields.

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Cite This Study

Liu et al. (Wed,) studied this question.

synapsesocial.com/papers/68f6379bb481a140a36cf713 https://doi.org/https://doi.org/10.48550/arxiv.2506.15179

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