Imbedding Jordan Systems in Primitive Systems

A Lie algebra L is called primitive if it is prime, nondegenerate, and contains a nonzero Jordan element a such that the attached Jordan algebra La is primitive. In this paper we prove that every primitive Lie PI-algebra over a field of zero characteristic is simple and finite-dimensional over its centroid.

M. Cabrera < cabrera@ugr.es >

A. Fernández López < emalfer@uma.es >