Deformations of Jordan algebras of dimension four

We study the variety Jor4 of four-dimensional Jordan algebras on k4, for k an algebraically closed field of characteristic ≠2. We describe its irreducible components and prove that Jor4 is the union of Zariski closures of the orbits of 10 rigid algebras.

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Bibliographic Details
Published inJournal of algebra Vol. 399; pp. 277 - 289
Main Authors Kashuba, Iryna, Martin, María Eugenia
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.02.2014
Subjects
Deformation of algebras
Jordan algebra
Rigidity
17C10
17C55
Rigidity
Deformation of algebras
14J10
Jordan algebra
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Summary:We study the variety Jor4 of four-dimensional Jordan algebras on k4, for k an algebraically closed field of characteristic ≠2. We describe its irreducible components and prove that Jor4 is the union of Zariski closures of the orbits of 10 rigid algebras.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2013.09.040