Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical bases of higher-level q-deformed Fock spaces and
  Kazhdan-Lusztig polynomials   The aim of this paper is to generalize several aspects of the recent work of
Leclerc-Thibon and Varagnolo-Vasserot on the canonical bases of the level 1
q-deformed Fock spaces due to Hayashi. Namely, we define canonical bases for
the higher-level q-deformed Fock spaces of Jimbo-Misra-Miwa-Okado and establish
a relation between these bases and (parabolic) Kazhdan-Lusztig polynomials for
the affine Weyl group of type $A^{(1)}_{r-1}.$ As an application we derive an
inversion formula for a sub-family of these polynomials. This article is an
extended version of math.QA/9901032

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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: cs