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• #### A series of algebras generalizing the Octonions and Hurwitz-Radon Identity ﻿

[OWP-2010-10] (Mathematisches Forschungsinstitut Oberwolfach, 2010)
We study non-associative twisted group algebras over $(\mathbb{Z}_2)^n$ with cubic twisting functions. We construct a series of algebras that extend the classical algebra of octonions in the same way as the Clifford algebras ...