The exceptional Lie algebra $\mathfrak{g}_2$ generated by three generators subject to quadruple relations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911779131490304 |
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| author | Stoilova, N. I. Van der Jeugt, J. |
| author_facet | Stoilova, N. I. Van der Jeugt, J. |
| contents | In this short communication we show how the Lie algebra $\mathfrak{g}_2$ can easily be described as a free Lie algebra on 3 generators, subject to some simple quadruple relations for these generators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_04131 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The exceptional Lie algebra $\mathfrak{g}_2$ generated by three generators subject to quadruple relations Stoilova, N. I. Van der Jeugt, J. Rings and Algebras 17B25, 17B01 In this short communication we show how the Lie algebra $\mathfrak{g}_2$ can easily be described as a free Lie algebra on 3 generators, subject to some simple quadruple relations for these generators. |
| title | The exceptional Lie algebra $\mathfrak{g}_2$ generated by three generators subject to quadruple relations |
| topic | Rings and Algebras 17B25, 17B01 |
| url | https://arxiv.org/abs/2212.04131 |