STRUCTURE AND REPRESENTATIONS OF JORDAN ALGEBRAS ARISING FROM INTERMOLECULAR RECOMBINATION

In this work we investigate the structure and representations of Jordan algebras arising from intermolecular recombination. It is proved that the variety of all these algebras is special. The basis and multiplication table are constructed for the free algebra of this variety. It is also shown that all the identities satisfying the operation of intermolecular recombination are consequences of only one identity of degree 4.