2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127101Formulas are obtained that express the Schur S-functions indexed by Young diagrams of rectangular shape as linear combinations of "mixed" products of Schur's S- and Q-functions. The proof is achieved by using representations of the affine Lie algebra of type A_1^{(1)}. A realization of the basic representation that is of ``D_2^{(2)}''-type plays the central role.21pagesRepresentation TheoryCombinatorics05E05;17B67text