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Hopf construction map in higher dimensions

Guillermo Moreno
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Abstract

In this paper, we study the zero set of the Hopf construction map F_n : A_n_ x A_n --> A_n x A_0 given by F_n (x, y) = (2xy, | y|^2 - |x|^2) for n >3 where A_n is the Cayley-Dickson algebra of dimension 2^n over the real numbers.

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Guillermo Moreno. 2004-04-07. Hopf construction map in higher dimensions. https://arxiv.org/abs/math/0404172

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