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Article Dans Une Revue Journal of Pure and Applied Algebra Année : 2011

New solutions to the Hurwitz problem on square identities

Résumé

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.

Dates et versions

hal-00695590 , version 1 (09-05-2012)

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Anna Lenzhen, Sophie Morier-Genoud, Valentin Ovsienko. New solutions to the Hurwitz problem on square identities. Journal of Pure and Applied Algebra, 2011, 215 (12), pp.2903-2911. ⟨10.1016/j.jpaa.2011.04.011⟩. ⟨hal-00695590⟩
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