Classification of restricted Lie algebras of dimension $4$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909652314226688 |
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| author | Liu, W. Zhou, G. -S. |
| author_facet | Liu, W. Zhou, G. -S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15179 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of restricted Lie algebras of dimension $4$ Liu, W. Zhou, G. -S. Rings and Algebras 17B50, 16T05, 17-08 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. |
| title | Classification of restricted Lie algebras of dimension $4$ |
| topic | Rings and Algebras 17B50, 16T05, 17-08 |
| url | https://arxiv.org/abs/2506.15179 |