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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.18941 |
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| _version_ | 1866918216324874240 |
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| author | Yousefi, Saboura Kaheni, Azam Johari, Farangis |
| author_facet | Yousefi, Saboura Kaheni, Azam Johari, Farangis |
| contents | In this paper, we investigate nilpotent Lie algebras $ L $ of nilpotency class $3 $ and provide a complete classification of those satisfying $ \dim L^2 = 3 $ and $Z(L) = L^3 \cong A(2). $ Furthermore, we explicitly characterize the structure of such Lie algebras in the case when $ \dim L = 7. $ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18941 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of nilpotent Lie algebras of nilpotency class 3 having a derived subalgebra of dimension three Yousefi, Saboura Kaheni, Azam Johari, Farangis Group Theory In this paper, we investigate nilpotent Lie algebras $ L $ of nilpotency class $3 $ and provide a complete classification of those satisfying $ \dim L^2 = 3 $ and $Z(L) = L^3 \cong A(2). $ Furthermore, we explicitly characterize the structure of such Lie algebras in the case when $ \dim L = 7. $ |
| title | Classification of nilpotent Lie algebras of nilpotency class 3 having a derived subalgebra of dimension three |
| topic | Group Theory |
| url | https://arxiv.org/abs/2511.18941 |