Non-associative Frobenius algebras of type $E_7$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929197290618880 |
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| author | Desmet, Jari |
| author_facet | Desmet, Jari |
| contents | Recently, Maurice Chayet and Skip Garibaldi introduced a class of commutative non-associative algebras.
In previous work, we gave an explicit description of these algebras for groups of type $G_2,F_4$ and certain forms of $E_6$ in terms of octonion and Albert algebras. In this paper, we extend this further by dealing with $E_7$ in terms of generalised Freudenthal triple systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01660 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-associative Frobenius algebras of type $E_7$ Desmet, Jari Rings and Algebras Recently, Maurice Chayet and Skip Garibaldi introduced a class of commutative non-associative algebras. In previous work, we gave an explicit description of these algebras for groups of type $G_2,F_4$ and certain forms of $E_6$ in terms of octonion and Albert algebras. In this paper, we extend this further by dealing with $E_7$ in terms of generalised Freudenthal triple systems. |
| title | Non-associative Frobenius algebras of type $E_7$ |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2401.01660 |