Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants   We consider two types of quotients of the integrable modules of $\hat{sl}_2$.
These spaces of coinvariants have dimensions described in terms of the Verlinde
algebra of level-$k$. We describe monomial bases for the spaces of
coinvariants, which leads to a fermionic description of these spaces. For
$k=1$, we give the explicit formulas for the characters. We also present
recursion relations satisfied by the characters and the monomial bases.

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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci