A Generalized Composition of Quadratic Forms based on Quadratic Pairs
arXiv:0809.4123
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.
22 pages