Score for the Partition (9,8,3)

The Weyl module resolution studied by Buchsbaum where the Weyl module is the image of the Weyl map for the skew-partition and is a free module defined on a commutative ring with identity; where runs over all partitions . There are a number of classical formulas that express the formal character of the representation in terms of standard symmetric polynomials. Such formulas are also valid for the more general representation modules associated to skew partition ; where , where the set of all irreducible polynomial representations of general linear group of degree is described by the module The reduction from the terms of the characteristic-free of Weyl module resolution to the terms of the Lascoux resolution found in this work for the partition (9,8,3) by using the boundary maps and prove that the sequence of the reduction terms is exact.