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arXiv · 1007.2337

New solutions to the Hurwitz problem on square identities

Anna Lenzhen·Sophie Morier-Genoud·Valentin Ovsienko
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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.

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Anna Lenzhen, Sophie Morier-Genoud, Valentin Ovsienko. 2010-07-14. New solutions to the Hurwitz problem on square identities. https://arxiv.org/abs/1007.2337

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