2024/03/22 by Tignol, Jean-Pierre
#11E81 #16W10 #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.2403.15561
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.