English

The variety of three-dimensional real Jordan algebras

Rings and Algebras 2014-04-22 v1

Abstract

In this paper, we study the variety Jor3Jor_{3} of three-dimensional Jordan algebras over the field of real numbers. We establish the list of 2626 non-isomorphic Jordan algebras and describe the irreducible components of Jor3Jor_{3} proving that it is the union of Zariski closure of the orbits of 88 rigid algebras.

Keywords

Cite

@article{arxiv.1404.5001,
  title  = {The variety of three-dimensional real Jordan algebras},
  author = {Iryna Kashuba and María Eugenia Martin},
  journal= {arXiv preprint arXiv:1404.5001},
  year   = {2014}
}