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

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

2001-12-11

arxiv.org/abs/math/0112104v1

Mathematics

Quantum Algebra

Latex, 11 pages

Scientific paper

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.

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