Article ID Journal Published Year Pages File Type
4597111 Journal of Pure and Applied Algebra 2011 9 Pages PDF
Abstract

The Hurwitz problem of composition of quadratic forms, or of “sum of squares identity” is tackled with the help of a particular class of (Z/2Z)n-graded non-associative algebras generalizing the octonions. This method provides explicit formulas for the classical Hurwitz–Radon identities and leads to new solutions in a neighborhood of the Hurwitz–Radon identities.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory