Four dimensional Jordan algebras

Abstract

In this paper, we classify four-dimensional Jordan algebras over an algebraically closed field of characteristic different of two. We establish the list of 73 non-isomorphic Jordan algebras.

References in corpus (1)

• Contractions of low-dimensional nilpotent Jordan algebras

Cited by in corpus (7)

• Monogenic functions in finite-dimensional commutative associative algebras
• Classification of three-dimensional Jordan superalgebras
• Polynomial identities of bicommutative algebras, Lie and Jordan elements
• Curvilinear integral theorems for monogenic functions in commutative associative algebras
• Geometric classification of nilpotent Jordan algebras of dimension five
• Jacobi-Jordan algebras
• Unified products for Jordan algebras. Applications