Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spaces of coinvariants and fusion product I. From equivalence theorem to
  Kostka polynomials   The fusion rule gives the dimensions of spaces of conformal blocks in the WZW
theory. We prove a dimension formula similar to the fusion rulefor spaces of
coinvariants of affine Lie algebras g^. An equivalence of filtered spaces is
established between spaces of coinvariants of two objects: highest weight
g^-modules and tensor products of finite-dimensional evaluation representations
of g\otimes\C[t].
  In the sl_2 case we prove that their associated graded spaces are isomorphic
to the spaces of coinvariants of fusion products, and that their Hilbert
polynomials are the level-restricted Kostka polynomials.

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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat