English

Coinvariants for Lattice VOAs and q-Supernomial Coefficients

Quantum Algebra 2009-11-07 v2 Mathematical Physics math.MP

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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Cite

@article{arxiv.math/0107003,
  title  = {Coinvariants for Lattice VOAs and q-Supernomial Coefficients},
  author = {B. L. Feigin and S. A. Loktev and I. Yu. Tipunin},
  journal= {arXiv preprint arXiv:math/0107003},
  year   = {2009}
}

Comments

21 pages, 1 figure