Contractions d'algèbres de Jordan en dimension 2 [Contractions of Jordan algebras in dimension 2]

Details Contractions d'algèbres de Jordan en dimension 2 [Contractions of Jordan algebras in dimension 2] Contractions d'algèbres de Jordan en dimension 2 [Contractions of Jordan algebras in dimension 2]

2007-01-17

arxiv.org/abs/math/0701477v1

Mathematics

Rings and Algebras

20 pages. Text in french

Scientific paper

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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