Geometries, the principle of duality, and algebraic groups

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dc.creatorCarr, Michael
dc.creatorGaribaldi, Skip
dc.date2005-03-10
dc.date2005-09-09
dc.date.accessioned2026-07-07T13:17:15Z
dc.date.available2026-07-07T13:17:15Z
dc.descriptionJacques Tits gave a general recipe for producing an abstract geometry from a semisimple algebraic group. This expository paper describes a uniform method for giving a concrete realization of Tits's geometry and works through several examples. We also give a criterion for recognizing the automorphism of the geometry induced by an automorphism of the group. The E6 geometry is studied in depth.
dc.descriptionThe writing has been cleaned up since v1
dc.identifierhttps://arxiv.org/abs/math/0503201
dc.identifierhttp://arxiv.org/abs/math/0503201
dc.identifierExpositiones Mathematicae 24 #3 (2006), 195-234
dc.identifierdoi:10.1016/j.exmath.2005.11.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231050
dc.subjectRepresentation Theory
dc.subject20G15; 14M15
dc.titleGeometries, the principle of duality, and algebraic groups
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