Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Combinatorics of the Garsia-Haiman Modules for Hook Shapes   Several bases of the Garsia-Haiman modules for hook shapes are given, as well
as combinatorial decomposition rules for these modules. These bases and rules
extend the classical ones for the coinvariant algebra of type $A$. We also give
a decomposition of the Garsia-Haiman modules into descent representations.

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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph