Invariants de Witt des involutions de bas degré en caractéristique 2
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929286540165120 |
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| author | Tignol, Jean-Pierre |
| author_facet | Tignol, Jean-Pierre |
| contents | A $3$-fold and a $5$-fold quadratic Pfister forms are canonically associated to every symplectic involution on a central simple algebra of degree $8$ over a field of characteristic $2$. The same construction on central simple algebras of degree $4$ associates to every unitary involution a $2$-fold and a $4$-fold Pfister quadratic forms, and to every orthogonal involution a $1$-fold and a $3$-fold quasi-Pfister forms. These forms hold structural information on the algebra with involution. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_15561 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariants de Witt des involutions de bas degré en caractéristique 2 Tignol, Jean-Pierre K-Theory and Homology 16W10, 11E81 A $3$-fold and a $5$-fold quadratic Pfister forms are canonically associated to every symplectic involution on a central simple algebra of degree $8$ over a field of characteristic $2$. The same construction on central simple algebras of degree $4$ associates to every unitary involution a $2$-fold and a $4$-fold Pfister quadratic forms, and to every orthogonal involution a $1$-fold and a $3$-fold quasi-Pfister forms. These forms hold structural information on the algebra with involution. |
| title | Invariants de Witt des involutions de bas degré en caractéristique 2 |
| topic | K-Theory and Homology 16W10, 11E81 |
| url | https://arxiv.org/abs/2403.15561 |