Coinvariants for Lattice VOAs and q-Supernomial Coefficients

Details Coinvariants for Lattice VOAs and q-Supernomial Coefficients Coinvariants for Lattice VOAs and q-Supernomial Coefficients

2001-06-30

arxiv.org/abs/math/0107003v2

Mathematics

Quantum Algebra

21 pages, 1 figure

Scientific paper

10.1007/s00220-002-0690-7

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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