2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60141In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.Latex file, viii+95 pagesQuantum AlgebraRepresentation Theory20G05, 18F25, 16S80, 20C07The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\tilde A_{n-1}$text