Scorza varieties and Jordan algebras |
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Authors: | Pierre-Emmanuel Chaput |
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Institution: | Institut Fourier, Laboratoire de Mathématiques, UMR5582 (UJF-CNRS), BP 74, 38402 St. Martin d'Heres Cedex, France |
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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. |
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Keywords: | 14M07 14M17 14E07 |
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