A Generalized Composition of Quadratic Forms based on Quadratic Pairs
Commutative Algebra
2008-09-25 v1 Rings and Algebras
Abstract
For quadratic spaces which represent 1 there is a characterization of hermitian compositions in the language of algebras-with-involutions using the even Clifford algebra. We extend this notion to define a generalized composition based on quadratic pairs and determine the degrees of minimal compositions for any given quadratic pair.
Cite
@article{arxiv.0809.4123,
title = {A Generalized Composition of Quadratic Forms based on Quadratic Pairs},
author = {Roland Lötscher},
journal= {arXiv preprint arXiv:0809.4123},
year = {2008}
}
Comments
22 pages