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Coinvariants for Lattice VOAs and q-Supernomial Coefficients

B. L. Feigin·S. A. Loktev·I. Yu. Tipunin
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Abstract

We propose an alternative definition of q-supernomial coefficients as characters of coinvariants for one dimensional lattice vertex operator algebras. This gives a new formula for q-supernomial coefficients. Along the way we prove that the spaces of coinvariants form a bundle over the configuration space of complex points (the configuration space includes diagonals).

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B. L. Feigin, S. A. Loktev, I. Yu. Tipunin. 2002-01-10. Coinvariants for Lattice VOAs and q-Supernomial Coefficients. https://doi.org/10.1007/s00220-002-0690-7

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