Constructing zero divisors in the higher dimensional Cayley-Dickson algebras

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dc.creatorMoreno, Guillermo
dc.date2005-12-22
dc.date.accessioned2026-07-07T06:55:40Z
dc.date.available2026-07-07T06:55:40Z
dc.descriptionIn this paper we give new methods to construct zero divisors in A_n =R^(2^n) the Cayley_Dickson algebras over the real numbers, for n larger than 4, and we also relate the set of zero divisors in A_{n+1} with the Stiefel Manifold V_{2^n -1,2} for n>3. We also introduce the notion of "Spectrum" (of a no zero double pure element) wich synthesize the information regarding the structure of the linear operators left and right multiplication by the element. We use this as a main technical tool to construct the zero divisors.
dc.description28 pages,submmited to Boletin de la Sociedad Matematica Mexicana
dc.identifierhttps://arxiv.org/abs/math/0512517
dc.identifierhttp://arxiv.org/abs/math/0512517
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106356
dc.subjectRings and Algebras
dc.subjectAlgebraic Topology
dc.subject17A99
dc.titleConstructing zero divisors in the higher dimensional Cayley-Dickson algebras
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