Classification of $4$-dimensional complex Poisson algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916894492065792 |
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| author | Abdelwahab, Hani Sánchez, José María |
| author_facet | Abdelwahab, Hani Sánchez, José María |
| contents | The present paper is devoted to the complete classification of $4$-dimensional complex Poisson algebras, taking into account a classification, up to isomorphism, of the complex commutative associative algebras of dimension $4$, as well as by using a Lie algebra classification, up to isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07957 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of $4$-dimensional complex Poisson algebras Abdelwahab, Hani Sánchez, José María Representation Theory 17A30, 17B63 The present paper is devoted to the complete classification of $4$-dimensional complex Poisson algebras, taking into account a classification, up to isomorphism, of the complex commutative associative algebras of dimension $4$, as well as by using a Lie algebra classification, up to isomorphism. |
| title | Classification of $4$-dimensional complex Poisson algebras |
| topic | Representation Theory 17A30, 17B63 |
| url | https://arxiv.org/abs/2410.07957 |