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