On hypercomplexifying real forms of arbitrary rank

dc.creatorHou, Dennis
dc.date2002-09-28
dc.date.accessioned2026-07-07T04:51:21Z
dc.date.available2026-07-07T04:51:21Z
dc.descriptionFor certain problems involving vector fields, it is possible to find an associated imaginary field that, in conjunction with the first, forms a complex field for which the equation can be solved. This result is generalized to arbitrary Clifford algebras, followed by quaternionic vectors as a special case. All results are shown to reduce to the established method of complexifying vector fields. For simplicity, differential forms are used rather than vector notation.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0209396
dc.identifierhttp://arxiv.org/abs/math/0209396
dc.identifierAdv. in Appl. Cliff. Alg. vol. 11, no. 2, 256-271 (2001)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65112
dc.subjectDifferential Geometry
dc.subject58A10
dc.titleOn hypercomplexifying real forms of arbitrary rank
dc.typetext

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