  In 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.
