Abstract
We consider two types of quotients of the integrable modules of\(\widehat{\mathfrak{s}\mathfrak{l}}_2 \). These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of levelk. We describe monomial bases for the spaces of coinvariants, which leads to a fermionic description of these spaces. Fork=1, we give explicit formulas for the characters. We also present recursion relations satisfied by the characters and the monomial bases.
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Dedicated to the memory of Denis Uglov
Supported by NSF grant number 9870550.
Partially supported by CRDF grant RM1-265.
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Feigin, B., Loktev, S., Kedem, R. et al. Combinatorics of the\(\widehat{\mathfrak{s}\mathfrak{l}}_2 \) spaces of coinvariants. Transformation Groups 6, 25–52 (2001). https://doi.org/10.1007/BF01236061
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DOI: https://doi.org/10.1007/BF01236061