Addendum to `Bosonic formulas for $(k,l)$-admissible partitions'

. 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 b sl l . We clarify the relation between these two works. As a byproduct we obtain an explicit parameterization of the affine Weyl group of b sl l by a simple combinatorial set.