Abstract
We announce the construction of an explicit basis for all integrable highest weight modules over the Lie algebra A 1 (1). The construction uses representations of vertex operator algebras and leads to combinatorial identities of Rogers-Ramanujan-type.
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Meurman, A., Primc, M. Vertex operator algebras and representations of affine Lie algebras. Acta Appl Math 44, 207–215 (1996). https://doi.org/10.1007/BF00116522
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DOI: https://doi.org/10.1007/BF00116522