paper

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

arXiv:math/0701477

Abstract

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.

20 pages. Text in french