Pfister involutions in characteristic two
Rings and Algebras
2017-06-07 v3
Abstract
In characteristic two, it is shown that a central simple algebra of degree equal to a power of two with anisotropic orthogonal involution is totally decomposable, if it becomes either anisotropic or metabolic over all extensions of the ground field. A similar result is obtained for the case where this algebra with involution is Brauer-equivalent to a quaternion algebra and it becomes adjoint to a bilinear Pfister form over all splitting fields of the algebra.
Cite
@article{arxiv.1608.02730,
title = {Pfister involutions in characteristic two},
author = {A. -H. Nokhodkar},
journal= {arXiv preprint arXiv:1608.02730},
year = {2017}
}