On totally decomposable algebras with involution in characteristic two
Rings and Algebras
2015-03-17 v1
Abstract
A necessary and sufficient condition for a central simple algebra with involution over a field of characteristic two to be decomposable as a tensor product of quaternion algebras with involution, in terms of its Frobenius subalgebras, is given. It is also proved that a bilinear Pfister form, recently introduced by A. Dolphin, can classify totally decomposable central simple algebras of orthogonal type.
Cite
@article{arxiv.1503.04418,
title = {On totally decomposable algebras with involution in characteristic two},
author = {M. G. Mahmoudi and A. -H. Nokhodkar},
journal= {arXiv preprint arXiv:1503.04418},
year = {2015}
}