  We consider generalizations of certain arithmetic complexes appearing in work
of Raicu and VandeBogert in connection with the study of stable sheaf
cohomology on flag varieties. Defined over the ring of integer valued
polynomials, we prove an isomorphism of these complexes as conjectured by Gao,
Raicu, and VandeBogert. In particular, this gives a more conceptual proof of an
identification between the stable sheaf cohomology of hook and two column
partition Schur functors applied to the cotangent sheaf of projective space.
