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math.RA2026
Totally decomposable algebras with involution and R-triviality
M. Archita, Karim Johannes Becher
We show that the group of proper projective similitudes of a totally decomposable algebra with orthogonal or symplectic involution of index at most 2 over a field of characteristic…
math.RA2024
The discriminant Pfister form of an algebra with involution of capacity four
Karim Johannes Becher, Nicolas Grenier-Boley, Jean-Pierre Tignol
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 t…