New solutions to the Hurwitz problem on square identities

Details New solutions to the Hurwitz problem on square identities New solutions to the Hurwitz problem on square identities

2010-07-14

arxiv.org/abs/1007.2337v2

Mathematics

Commutative Algebra

13 pages, 2 figures, final version to appear in J. Pure Appl. Alg

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

New solutions to the Hurwitz problem on square identities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New solutions to the Hurwitz problem on square identities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New solutions to the Hurwitz problem on square identities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-120925