The Exponential Map on the Cayley-Dickson algebras
Guillermo Moreno
Abstract
we study the exponential map for An = R2n, the CayleyDickson algebras for n bigher than 1,wich generalize the Complex exponential map to Quaternions,Octonions and so forth. As application,we show that the self-map of the unit sphere in An, S(2n)-1,given by taking k-powers has topological degree k for k an integer number,from this we derive a suitable "Fundamental theorem of algebra" for An for n bigher than 1.
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