Hopf construction map in higher dimensions
Algebraic Topology
2007-05-23 v1 Rings and Algebras
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.
Cite
@article{arxiv.math/0404172,
title = {Hopf construction map in higher dimensions},
author = {Guillermo Moreno},
journal= {arXiv preprint arXiv:math/0404172},
year = {2007}
}