Totally decomposable quadratic pairs
Rings and Algebras
2016-04-15 v2
Abstract
In this paper we show that a split central simple algebra with quadratic pair which decomposes into a tensor product of quaternion algebras with involution and a quaternion algebra with quadratic pair is adjoint to a quadratic Pfister form. This result is new in characteristic two, otherwise it is equivalent to the Pfister Factor Conjecture proven in [3].
Cite
@article{arxiv.1512.01349,
title = {Totally decomposable quadratic pairs},
author = {Karim Johannes Becher and Andrew Dolphin},
journal= {arXiv preprint arXiv:1512.01349},
year = {2016}
}
Comments
12 pages