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Invariants de Witt des involutions de bas degr\'e en caract\'eristique 2

Authors :
Tignol, Jean-Pierre
Publication Year :
2024

Abstract

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.<br />Comment: in French language

Details

Language :
French
Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2403.15561
Document Type :
Working Paper