New solutions to the Hurwitz problem on square identities
Commutative Algebra
2011-03-15 v2 Number Theory
Rings and Algebras
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 -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.
Cite
@article{arxiv.1007.2337,
title = {New solutions to the Hurwitz problem on square identities},
author = {Anna Lenzhen and Sophie Morier-Genoud and Valentin Ovsienko},
journal= {arXiv preprint arXiv:1007.2337},
year = {2011}
}
Comments
13 pages, 2 figures, final version to appear in J. Pure Appl. Alg