ABSTRACT
The problem of speciality for Malcev algebras is investigated. A Malcev algebra is called special if it admits an isomorphic embedding into a commutator algebra A- for a certain alternative algebra A. It is an open question whether any Malcev algebra is special. We introduce a notion of Malcev Poisson algebra, which generalizes that of (Lie) Poisson algebra, and show that the problem of speciality for a Malcev algebra M is reduced to the existence of alternative quantization deformations for certain Malcev Poisson algebras related with M.
