Geometry over composition algebras : projective geometry

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dc.creatorChaput, Pierre-Emmanuel
dc.date2005-09-23
dc.date.accessioned2026-07-07T06:18:50Z
dc.date.available2026-07-07T06:18:50Z
dc.descriptionThe purpose of this article is to introduce projective geometry over composition algebras : the equivalent of projective spaces and Grassmannians over them are defined. It will follow from this definition that the projective spaces are in correspondance with Jordan algebras and that the points of a projective space correspond to rank one matrices in the Jordan algebra. A second part thus studies properties of rank one matrices. Finally, subvarieties of projective spaces are discussed.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0509549
dc.identifierhttp://arxiv.org/abs/math/0509549
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94871
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14N99; 14L35; 14L40
dc.titleGeometry over composition algebras : projective geometry
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