Separable extensions of orthogonal involutions in characteristic two

2017/04/23 by Nokhodkar, Amir Hossein
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1704.06887

Abstract

It is shown that an anisotropic orthogonal involution in characteristic two is totally decomposable if it is totally decomposable over a separable extension of the ground field. In particular, this settles a characteristic two analogue of a conjecture formulated by Bayer-Fluckiger et al.

Related

• Quadratic descent of totally decomposable orthogonal involutions in characteristic two
• Totally decomposable symplectic and unitary involutions
• Isotropy of orthogonal involutions
• Orthogonal involutions and totally singular quadratic forms in characteristic two
• Totally decomposable algebras with involution and R-triviality