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arxiv: math/0701477 · v1 · submitted 2007-01-17 · 🧮 math.RA

Contractions d'alg\`ebres de Jordan en dimension 2 [Contractions of Jordan algebras in dimension 2]

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keywords algebrasjordancontractionsdimensionanalysisclassesdetermineebres
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We determine the isomorphism classes of Jordan algebras in dimension two over the field of real numbers. Using techniques of non-standard analysis we study the properties of the variety of Jordan algebras, and also the contractions among these algebras.

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