Cayley-Dicksonia Revisited

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dc.creatorMerkel, U.
dc.date2008-07-02
dc.date2008-07-07
dc.date.accessioned2026-07-07T09:48:27Z
dc.date.available2026-07-07T09:48:27Z
dc.descriptionIn the theory of the hypercomplex, the laws governing the algebra are based on units that are naturally associated with an orthogonal vector space, a requirement that is far from mandatory in many algebraic formulations arising in the context of the reals or the complex numbers.In this article the complementing view is held, in that the laws of hypercomplex algebra are recast in terms of quite generally posited units. Proceeding in this manner, a generalized form of the Cayley-Dickson process is examined. The representations given are regular bimodular; the resulting matrices are standard except they are allowed nonstandard multiplication for noncommutative matrix elements.
dc.description16 pages; Preprint pointer on frontpage deleted, some errors and typos corrected
dc.identifierhttps://arxiv.org/abs/0807.0343
dc.identifierhttp://arxiv.org/abs/0807.0343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164220
dc.subjectRepresentation Theory
dc.titleCayley-Dicksonia Revisited
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