Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elliptic determinant evaluations and the Macdonald identities for affine
  root systems   We obtain several determinant evaluations, related to affine root systems,
which provide elliptic extensions of Weyl denominator formulas. Some of these
are new, also in the polynomial special case, while others yield new proofs of
the Macdonald identities for the seven infinite families of irreducible reduced
affine root systems.

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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: nucl-th