Coinvariants for Lattice VOAs and q-Supernomial Coefficients
Abstract
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).
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- 2002
- DOI:
- 10.1007/s00220-002-0690-7
- arXiv:
- arXiv:math/0107003
- Bibcode:
- 2002CMaPh.229..271F
- Keywords:
-
- Mathematics - Quantum Algebra;
- Mathematical Physics
- E-Print:
- 21 pages, 1 figure