Invariants de Witt des involutions de bas degré en caractéristique 2

Tignol, Jean-Pierre
(2024) Comptes Rendus Mathématiques / Académie des Sciences — Vol. 362, n° 1, p. 1261-1271 (2024)

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  • Tignol, Jean-Pierreorcid-logoUCLouvain
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Abstract
(en) 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.
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Tignol, J.-P. (2024). Invariants de Witt des involutions de bas degré en caractéristique 2. Comptes Rendus Mathématiques / Académie des Sciences, 362(1), 1261-1271. https://doi.org/10.5802/crmath.640 (Original work published 2024)