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arXiv · 1404.5001

The variety of three-dimensional real Jordan algebras

Iryna Kashuba·María Eugenia Martin
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Abstract

In this paper, we study the variety $Jor_{3}$ of three-dimensional Jordan algebras over the field of real numbers. We establish the list of $26$ non-isomorphic Jordan algebras and describe the irreducible components of $Jor_{3}$ proving that it is the union of Zariski closure of the orbits of $8$ rigid algebras.

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Iryna Kashuba, María Eugenia Martin. 2014-04-20. The variety of three-dimensional real Jordan algebras. https://arxiv.org/abs/1404.5001

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