Quadratic descent of hermitian forms (with an erratum)
Rings and Algebras
2020-02-26 v2
Abstract
Quadratic descent of hermitian and skew hermitian forms over division algebras with involution of the first kind in arbitrary characteristic is investigated and a criterion, in terms of systems of quadratic forms, is obtained. A refined result is also obtained for hermitian (resp. skew hermitian) forms over a quaternion algebra with symplectic (resp. orthogonal) involution.
Keywords
Cite
@article{arxiv.2002.10422,
title = {Quadratic descent of hermitian forms (with an erratum)},
author = {Amir Hossein Nokhodkar},
journal= {arXiv preprint arXiv:2002.10422},
year = {2020}
}
Comments
An erratum to the paper is also submitted