Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants
Mathematical Physics
2007-05-23 v4 math.MP
Quantum Algebra
Representation Theory
Abstract
We consider two types of quotients of the integrable modules of . These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of level-. We describe monomial bases for the spaces of coinvariants, which leads to a fermionic description of these spaces. For , we give the explicit formulas for the characters. We also present recursion relations satisfied by the characters and the monomial bases.
Keywords
Cite
@article{arxiv.math-ph/9908003,
title = {Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants},
author = {B. Feigin and R. Kedem and S. Loktev and T. Miwa and E. Mukhin},
journal= {arXiv preprint arXiv:math-ph/9908003},
year = {2007}
}
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