The Exponential Map on the Cayley-Dickson algebras
量子代数
2007-05-23 v1 代数拓扑
摘要
we study the exponential map for A_n = R^2^n, the Cayley_Dickson 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 A_n, S^(2^n)-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 A_n for n bigher than 1.
引用
@article{arxiv.math/0405424,
title = {The Exponential Map on the Cayley-Dickson algebras},
author = {Guillermo Moreno},
journal= {arXiv preprint arXiv:math/0405424},
year = {2007}
}
备注
17 pages