A short construction of the Lie algebra $G_2(K)$ over fields $K$ of characteristic $2$
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915803699347456 |
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| author | Bani-Ata, Mashhour Alhuraiji, Abdulkareem |
| author_facet | Bani-Ata, Mashhour Alhuraiji, Abdulkareem |
| contents | The purpose of this paper is to give an explicit and elementary construction for the Lie algebras of type $G_2(K)$ of dimension 14, over the field K of characteristic 2. We say an elementary construction on the account that we use not more than little naive linear algebra notions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15908 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A short construction of the Lie algebra $G_2(K)$ over fields $K$ of characteristic $2$ Bani-Ata, Mashhour Alhuraiji, Abdulkareem Rings and Algebras The purpose of this paper is to give an explicit and elementary construction for the Lie algebras of type $G_2(K)$ of dimension 14, over the field K of characteristic 2. We say an elementary construction on the account that we use not more than little naive linear algebra notions. |
| title | A short construction of the Lie algebra $G_2(K)$ over fields $K$ of characteristic $2$ |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2602.15908 |