Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Affine Demazure crystals for specialized nonsymmetric Macdonald
  polynomials   We give a crystal-theoretic proof that nonsymmetric Macdonald polynomials
specialized to $t=0$ are affine Demazure characters. We explicitly construct an
affine Demazure crystal on semistandard key tabloids such that removing the
affine edges recovers the finite Demazure crystals constructed earlier by the
authors. We also realize the filtration on highest weight modules by Demazure
modules by defining explicit embedding operators which, at the level of
characters, parallels the recursion operators of Knop and Sahi for specialized
nonsymmetric Macdonald polynomials. Thus we prove combinatorially in type A
that every affine Demazure module admits a finite Demazure flag; this is proved
algebraically for arbitrary groups in an appendix by Kumar.

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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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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: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: gr-qc