Coinvariants for lattice VOAs and q-supernomial coefficients

B. L. Feigin; S. A. Loktev; I. Yu Tipunin

doi:10.1007/s00220-002-0690-7

Coinvariants for lattice VOAs and q-supernomial coefficients

B. L. Feigin^*
, S. A. Loktev
, I. Yu Tipunin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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).

Original language	English
Pages (from-to)	271-292
Number of pages	22
Journal	Communications in Mathematical Physics
Volume	229
Issue number	2
DOIs	https://doi.org/10.1007/s00220-002-0690-7
State	Published - Aug 2002
Externally published	Yes

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title = "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).",

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AB - 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).

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Coinvariants for lattice VOAs and q-supernomial coefficients

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