A basis of the basic sl(3, C)(similar to)-module

J. Lepowsky and R. L. Wilson initiated the approach to combinatorial Rogers -Ramanujan type identities via the vertex operator constructions of represe ntations of affine Lie algebras. In this approach the first new combinatori al identities were discovered by S. Capparelli through the construction of the level 3 standard A(2)((2))-modules. We 2 obtained several infinite seri es of new combinatorial identities through the construction of all standard A(1)((1))-modules; the identities associated to the fundamental modules co incide with the two Capparelli identities. In this paper we extend our cons truction to the basic A(2)((1))-module and, by using the principal speciali zation of the Weyl-Kac character formula, we obtain a Rogers-Ramanujan type combinatorial identity for colored partitions. The new combinatorial ident ity indicates the next level of complexity which one should expect in Lepow sky-Wilson's approach for affine Lie algebras of higher ranks, say for A(n) ((1)), n greater than or equal to 2, in a way parallel to the next level of complexity seen when passing from the Rogers-Ramanujan identities (for mod ulus 5) to the Gordon identities for odd moduli greater than or equal to 7.