2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77262In this short note, we show that the Ginzburg-Vasserot map between the quantum affine algebra of type A_(n-1) and the equivariant K-theory group of the Steinberg Variety (of n-step flags in C^d) restricts and remains surjective at the level of the integral forms. In particular, this shows that the parametrization of irreducible, finite-dimensional modules and the Kazhdan-Lusztig multiplicity formulas are valid for the (restricted) specialization at roots of unity.Latex, 5 pages, to appear in Comptes Rendus Acad. SciencesQuantum Algebratext