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

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

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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Bibliographische Detailangaben
Hauptverfasser:	Bermudez, J. M. Ancochea, Campoamor-Stursberg, R, Vergnolle, L. Garcia, Hernandez, J. Sanchez
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Rings and Algebras
Online-Zugang:	Volltext bestellen
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Beschreibung
Zusammenfassung:	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.
DOI:	10.48550/arxiv.math/0701477