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Character formulas for Feigin–Stoyanovsky’s type subspaces of standard \(\mathfrak{sl}(3, \mathbb{C})^{\widetilde{}}\)-modules

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Abstract

Exact sequences of Feigin–Stoyanovsky’s type subspaces for affine Lie algebra \(\mathfrak{sl}(l+1,\mathbb{C})^{\widetilde{}}\) lead to systems of recurrence relations for formal characters of those subspaces. By solving the corresponding system for \(\mathfrak{sl}(3,\mathbb{C})^{\widetilde{}}\), we obtain a new family of character formulas for all Feigin–Stoyanovsky’s type subspaces at the general level.

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Authors and Affiliations

  1. Faculty of Chemical Engineering and Technology, University of Zagreb, Marulićev trg 19, Zagreb, Croatia

    Miroslav Jerković

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  1. Miroslav Jerković
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Correspondence to Miroslav Jerković.

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Partially supported by the Ministry of Science and Technology of the Republic of Croatia, Project ID 037-0372794-2806.

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Jerković, M. Character formulas for Feigin–Stoyanovsky’s type subspaces of standard \(\mathfrak{sl}(3, \mathbb{C})^{\widetilde{}}\)-modules. Ramanujan J 27, 357–376 (2012). https://doi.org/10.1007/s11139-011-9347-5

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  • DOI: https://doi.org/10.1007/s11139-011-9347-5

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