Two axes in non-commutative algebras with a Frobenius form
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912855288184832 |
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| author | Segev, Yoav |
| author_facet | Segev, Yoav |
| contents | Throughout this paper $A$ is a commutative non-associative algebra over a field $\mathbb{F}$ of characteristic not $2.$ In addition $A$ posses a Frobenius form. We obtain detailed information about the multiplication in $A$ given two axes of type half in $A.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two axes in non-commutative algebras with a Frobenius form Segev, Yoav Rings and Algebras Group Theory 2020 Primary: 17C27, 17A99, Secondary: 17C10 Throughout this paper $A$ is a commutative non-associative algebra over a field $\mathbb{F}$ of characteristic not $2.$ In addition $A$ posses a Frobenius form. We obtain detailed information about the multiplication in $A$ given two axes of type half in $A.$ |
| title | Two axes in non-commutative algebras with a Frobenius form |
| topic | Rings and Algebras Group Theory 2020 Primary: 17C27, 17A99, Secondary: 17C10 |
| url | https://arxiv.org/abs/2506.11303 |