2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62865In our earlier paper we made a combinatorial study of (k,l)-admissible partitions. This object appeared already in the work of M. Primc as a label of a basis of level k-integrable modules over $\hat{sl}_l$. We clarify the relation between these two works. As a byproduct we obtain an explicit parameterization of the affine Weyl group of $\hat{sl}_l$ by a simple combinatorial set.Latex, 11 pagesQuantum AlgebraCombinatoricsRepresentation Theorytext