Cosymplectic Jacobi-Jordan Algebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909210293305344 |
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| author | bourkadi, S. El Mansouri, M. W. |
| author_facet | bourkadi, S. El Mansouri, M. W. |
| contents | We introduce the notion of cosymplectic structure on Jacobi-Jordan algebras, and we state that they are related to symplectic Jacobi-Jordan algebras. We show, in particular, that they support a right-skew-symmetric product. We also study the double extension constructions of cosymplectic Jacobi-Jordan algebras and give a complete classification in dimension five. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cosymplectic Jacobi-Jordan Algebras bourkadi, S. El Mansouri, M. W. Rings and Algebras Symplectic Geometry We introduce the notion of cosymplectic structure on Jacobi-Jordan algebras, and we state that they are related to symplectic Jacobi-Jordan algebras. We show, in particular, that they support a right-skew-symmetric product. We also study the double extension constructions of cosymplectic Jacobi-Jordan algebras and give a complete classification in dimension five. |
| title | Cosymplectic Jacobi-Jordan Algebras |
| topic | Rings and Algebras Symplectic Geometry |
| url | https://arxiv.org/abs/2405.15785 |