New solutions to the Hurwitz problem on square identities
arXiv:1007.2337
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 $(\mathbb{Z}_2)^n$-graded non-associative algebras generalizing the octonions. This method provides an explicit formula for the classical Hurwitz-Radon identity and leads to new solutions in a neighborhood of the Hurwitz-Radon identity.
13 pages, 2 figures, final version to appear in J. Pure Appl. Alg