The Exponential map on the Cayley-Dickson algebras
نویسنده
چکیده
We study the Exponential map for An = R 2 , the Cayley-Dickson algebras for n ≥ 1, which generalize the complex exponential map to Quaternions, Octonions and so forth. As an application, we show that the selfmap of the unit sphere in An, S(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.”
منابع مشابه
Constructing zero divisors in the higher dimensional Cayley-Dickson algebras
In this paper we give methods to construct zero divisors in the Cayley–Dickson algebras An=R 2 for n larger than 4. Also we relate the set of zero divisors with suitable Stiefel manifolds.
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