On the growth of graded polynomial identities of sln
Abstract
Let K be a field of characteristic 0 and L be a G-graded Lie PI-algebra, 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 x n traceless matrices sln(K) giving an exact value of its Zn-graded Gelfand-Kirillov dimension.
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