Exceptional Projective Geometries and Internal Symmetries

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dc.creatorCatto, Sultan
dc.date2003-02-11
dc.date.accessioned2026-07-07T04:14:51Z
dc.date.available2026-07-07T04:14:51Z
dc.descriptionA new mneumonic device is shown to emerge in connection with O(7) numerical tensors exhibiting duality and reflecting the natural 7=(4+3) splitting of 7-dimensional space. Then Desargues' and Pappus' theorems are shown to be connected through a geometry that makes use of octonionic numbers exhibiting this duality. Construction of exceptional Hilbert space based on Jordan algebras and exceptional projective geometries is illustrated. A brief discussion of the Moufang plane and non-Desarguesian geometries is presented.
dc.description37 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0302079
dc.identifierhttp://arxiv.org/abs/hep-th/0302079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51792
dc.subjectHigh Energy Physics - Theory
dc.titleExceptional Projective Geometries and Internal Symmetries
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