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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.21209 |
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| _version_ | 1866914349606502400 |
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| author | Damdji, Ahmed Zahari Abdou |
| author_facet | Damdji, Ahmed Zahari Abdou |
| contents | We provide a classification, up to isomorphism, of four-dimensional ternary Leibniz algebras over an algebraically closed field of characteristic zero. For each non-abelian algebra in the classification, we explicitly determine its centroid and quasi-centroid and compute their dimensions. These results offer a comprehensive description of the internal symmetries of low-dimensional ternary Leibniz algebras and extend several classical results from the binary Leibniz setting to the ternary case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21209 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classification and (Quasi)-Centroids of Four-Dimensional Ternary Leibniz Algebras Damdji, Ahmed Zahari Abdou Rings and Algebras We provide a classification, up to isomorphism, of four-dimensional ternary Leibniz algebras over an algebraically closed field of characteristic zero. For each non-abelian algebra in the classification, we explicitly determine its centroid and quasi-centroid and compute their dimensions. These results offer a comprehensive description of the internal symmetries of low-dimensional ternary Leibniz algebras and extend several classical results from the binary Leibniz setting to the ternary case. |
| title | Classification and (Quasi)-Centroids of Four-Dimensional Ternary Leibniz Algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2602.21209 |