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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.10243 |
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| _version_ | 1866910302539350016 |
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| author | Júnior, Renato Fehlberg Kaygorodov, Ivan Kuster, Crislaine |
| author_facet | Júnior, Renato Fehlberg Kaygorodov, Ivan Kuster, Crislaine |
| contents | This paper is devoted to the complete algebraic and geometric classification of complex 4 and 5-dimensional antiassociative algebras. In particular, we proved that the variety of complex 4-dimensional antiassociative algebras has dimension 12 and it is defined by three irreducible components (in particular, there is only 1 rigid algebra in this variety); the variety of complex 5-dimensional antiassociative algebras has dimension 24 and it is defined by 8 irreducible components (in particular, there are only 4 rigid algebras in this variety). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10243 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The algebraic and geometric classification of antiassociative algebras Júnior, Renato Fehlberg Kaygorodov, Ivan Kuster, Crislaine Rings and Algebras This paper is devoted to the complete algebraic and geometric classification of complex 4 and 5-dimensional antiassociative algebras. In particular, we proved that the variety of complex 4-dimensional antiassociative algebras has dimension 12 and it is defined by three irreducible components (in particular, there is only 1 rigid algebra in this variety); the variety of complex 5-dimensional antiassociative algebras has dimension 24 and it is defined by 8 irreducible components (in particular, there are only 4 rigid algebras in this variety). |
| title | The algebraic and geometric classification of antiassociative algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2401.10243 |