On the growth of graded polynomial identities of

Abstract

Let K be a field of characteristic 0 and L be a G-graded Lie PIalgebra, where G is a finite group. We define the graded Gelfand-Kirillov dimension of L. Then we measure the growth of the Zn-graded polynomial identities of the Lie algebra of n × n traceless matrices sln(K) giving an exact value of its Zn-graded Gelfand-Kirillov dimension.