Abstract
In our previous 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 \(\widehat{\mathfrak{s}\mathfrak{l}}_l \). We clarify the relation between these two works. As a byproduct we obtain an explicit parameterization of the affine Weyl group of \(\widehat{\mathfrak{s}\mathfrak{l}}_l \) by a simple combinatorial set.
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References
B. Feigin, M. Jimbo, S. Loktev, T. Miwa, and E. Mukhin, “Bosonic formulas for (k, l)-admissible partitions,” Ramanujan Journal 7 (2003), 485–517.
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Feigin, B., Jimbo, M., Loktev, S. et al. Addendum to ‘Bosonic Formulas for (k, l)-Admissible Partitions’. The Ramanujan Journal 7, 519–530 (2003). https://doi.org/10.1023/B:RAMA.0000012431.06614.0e
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DOI: https://doi.org/10.1023/B:RAMA.0000012431.06614.0e