Abstract:
It is proved, for the case in which the ground field is of characteristic zero, that the variety of Leibniz algebras left nilpotent of class at most three is a variety of almost exponential growth with almost polynomial growth of the colength and has almost finite multiplicities.
Keywords:variety of algebras, Leibniz algebras, nilpotent algebras, almost exponential growth, almost polynomial growth, almost finite multiplicities, Heisenberg algebras, Young diagram.