Orthonormal Eigenbases over the Octonions

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dc.creatorDray, Tevian
dc.creatorManogue, Corinne A
dc.creatorOkubo, Susumu
dc.date2001-06-04
dc.date.accessioned2026-07-07T04:41:59Z
dc.date.available2026-07-07T04:41:59Z
dc.descriptionWe previously showed that the real eigenvalues of 3x3 octonionic Hermitian matrices form two separate families, each containing 3 eigenvalues, and each leading to an orthonormal decomposition of the identity matrix, which would normally correspond to an orthonormal basis. We show here that it nevertheless takes both families in order to decompose an arbitrary vector into components, each of which is an eigenvector of the original matrix; each vector therefore has 6 components, rather than 3.
dc.descriptionLaTeX2e, 14 pages
dc.identifierhttps://arxiv.org/abs/math/0106021
dc.identifierhttp://arxiv.org/abs/math/0106021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61584
dc.subjectRings and Algebras
dc.subject15A33; 15A18; 17A35; 17C99
dc.titleOrthonormal Eigenbases over the Octonions
dc.typetext

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