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Coinvariants for Lattice VOAs and q-Supernomial Coefficients

arXiv:math/0107003 · doi:10.1007/s00220-002-0690-7

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).

21 pages, 1 figure