The Exponential Map on the Cayley-Dickson algebras

Simple item page
dc.creatorMoreno, Guillermo
dc.date2004-05-21
dc.date.accessioned2026-07-07T05:08:28Z
dc.date.available2026-07-07T05:08:28Z
dc.descriptionwe 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.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0405424
dc.identifierhttp://arxiv.org/abs/math/0405424
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71278
dc.subjectQuantum Algebra
dc.subjectAlgebraic Topology
dc.subject17A99
dc.titleThe Exponential Map on the Cayley-Dickson algebras
dc.typetext

Files

Collections

arXiv