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Scorza varieties and Jordan algebras
Authors:Pierre-Emmanuel Chaput
Institution:Institut Fourier, Laboratoire de Mathématiques, UMR5582 (UJF-CNRS), BP 74, 38402 St. Martin d'Heres Cedex, France
Abstract:In this paper, I give two very direct proves of the correspondance between a geometric object (Scorza varieties) and an algebraic one (Jordan algebras). I also give a short proof of the homogeneity of Scorza varieties, and a new and very simple proof of properties of the automorphism group of a Jordan algebra.
Keywords:14M07  14M17  14E07
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