Article Dans Une Revue Israel Journal of Mathematics Année : 2024

The discriminant Pfister form of an algebra with involution of capacity four

Résumé

To an orthogonal or unitary involution on a central simple algebra of degree 4, or to a symplectic involution on a central simple algebra of degree 8, we associate a Pfister form that characterises the decomposability of the algebra with involution. In this way we obtain a unified approach to known decomposability criteria for several cases, and a new result for symplectic involutions on degree-8 algebras in characteristic 2.

Dates et versions

hal-04937041 , version 1 (09-02-2025)

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Citer

Karim Johannes Becher, Nicolas Grenier-Boley, Jean-Pierre Tignol. The discriminant Pfister form of an algebra with involution of capacity four. Israel Journal of Mathematics, 2024, 264 (1), pp.235-280. ⟨10.1007/s11856-024-2647-4⟩. ⟨hal-04937041⟩
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