Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The weighted hook length formula III: Shifted tableaux   Recently, a simple proof of the hook length formula was given via the
branching rule. In this paper, we extend the results to shifted tableaux. We
give a bijective proof of the branching rule for the hook lengths for shifted
tableaux; present variants of this rule, including weighted versions; and make
the first tentative steps toward a bijective proof of the hook length formula
for d-complete posets.

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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph