Coinvariants for Lattice VOAs and q-Supernomial Coefficients
We propose an alternative definition of the $q$-supernomial coefficients as the characters of coinvariants for the one–dimensional lattice vertex operator algebras. This provides a new formula for the q-supernomial coefficients. We also prove that the spaces of the coinvariants form a bundle over the configuration space of complex points on Riemann surfaces (the configuration space includes the diagonals).
KeywordsRiemann Surface Vertex Operator Operator Algebra Configuration Space Alternative Definition
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