Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonsymmetric Macdonald polynomials and a refinement of Kostka-Foulkes
  polynomials   We study the specialization of the type A nonsymmetric Macdonald polynomials
at $t=0$ based on the combinatorial formula of Haglund, Haiman, and Loehr. We
prove that this specialization expands nonnegatively into the fundamental slide
polynomials, introduced by the author and Searles. Using this and weak dual
equivalence, we prove combinatorially that this specialization is a positive
graded sum of Demazure characters. We use stability results for fundamental
slide polynomials to show that this specialization stabilizes and to show that
the Demazure character coefficients give a refinement of the Kostka--Foulkes
polynomials.

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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph