Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants III

Details Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants III Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants III

2000-12-19

arxiv.org/abs/math/0012190v3

Mathematics

Quantum Algebra

Latex, 44 pages

Scientific paper

We give the fermionic character formulas for the spaces of coinvariants
obtained from level $k$ integrable representations of $\hat{\mathfrak sl}_2$.
We establish the functional realization of the spaces dual to the coinvariant
spaces. We parameterize functions in the dual spaces by rigged partitions, and
prove the recursion relations for the sets of rigged partitions.

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