2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75440In this paper, we introduce the sign q-permutation representation of the Iwahori-Hecke algebra on the tensor space of the graded vector space. We establish Schur-Weyl reciprocity between the quantum general super Lie algebra and the Iwahori-Hecke algebra. Our result includes Schur-Weyl reciprocity of both the super case and the quantum case, and unifies those two important cases.14 pages with no figureRepresentation TheoryQuantum Algebratext