Petr Novotny

On (a, b,c)--derivations of Jordan algebras

Using three complex parameters, we generalize the concept of derivations of Jordan algebras. Obtained operator spaces are investigated and used for definition of invariant functions of Jordan algebras. These invariant functions form a complete set of invariants for Jordan algebras up to dimension three. We also show how these invariants work with classification of four-dimensional Jordan algebras.