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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2501.10426 |
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| _version_ | 1866912569801834496 |
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| author | Smet, Michiel |
| author_facet | Smet, Michiel |
| contents | We generalize cubic norm structures to cubic norm pairs and extend hermitian cubic norm structures to arbitrary commutative unital rings. For the associated ``skew dimension one structurable algebra" of these pairs, we construct a corresponding Lie algebra and a group of automorphisms of the Lie algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10426 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cubic norm pairs and hermitian cubic norm structures Smet, Michiel Rings and Algebras We generalize cubic norm structures to cubic norm pairs and extend hermitian cubic norm structures to arbitrary commutative unital rings. For the associated ``skew dimension one structurable algebra" of these pairs, we construct a corresponding Lie algebra and a group of automorphisms of the Lie algebra. |
| title | Cubic norm pairs and hermitian cubic norm structures |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2501.10426 |