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

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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.
Latex, 44 pages

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Quantum Algebra, Combinatorics, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/60614

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012190
 http://arxiv.org/abs/math/0012190

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arXiv