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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.03135 |
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| _version_ | 1866912143699345408 |
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| author | Masqué, Jaime Muñoz Coronado, Luis Miguel Pozo |
| author_facet | Masqué, Jaime Muñoz Coronado, Luis Miguel Pozo |
| contents | Let $\mathbb{F}$ be a field of characteristic $\neq 2$ and $3$, let $V$ be a $\mathbb{F}$-vector space of dimension $6$, and let $Ω\in \wedge ^2V^\ast $ be a non-degenerate form. A system of generators for polynomial invariant functions under the tensorial action of the group $Sp(Ω)$ on $\wedge ^3 V^\ast $, is given explicitly. Applications of these results to the normal forms of De Bruyn-Kwiatkowski and Popov are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03135 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A new look at the classiffication of the tri-covectors of a 6-dimensional symplectic space Masqué, Jaime Muñoz Coronado, Luis Miguel Pozo Symplectic Geometry Primary: 15A21, Secondary: 15A63, 15A75, 20G15 Let $\mathbb{F}$ be a field of characteristic $\neq 2$ and $3$, let $V$ be a $\mathbb{F}$-vector space of dimension $6$, and let $Ω\in \wedge ^2V^\ast $ be a non-degenerate form. A system of generators for polynomial invariant functions under the tensorial action of the group $Sp(Ω)$ on $\wedge ^3 V^\ast $, is given explicitly. Applications of these results to the normal forms of De Bruyn-Kwiatkowski and Popov are given. |
| title | A new look at the classiffication of the tri-covectors of a 6-dimensional symplectic space |
| topic | Symplectic Geometry Primary: 15A21, Secondary: 15A63, 15A75, 20G15 |
| url | https://arxiv.org/abs/2412.03135 |