Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Plactic relations for $r$-domino tableaux   The work of C. Bonnaf{\'e}, M. Geck, L. Iancu and T. Lam \cite{Geck-Lam}
shows through two conjectures that $r$-domino tableaux have an important role
in Kazhdan-Lusztig theory of type $B$ with unequal parameters. In this paper we
provide plactic relations on signed permutations which determine whether given
two signed permutations have the same insertion $r$-domino tableaux in
Garfinkle's algorithm \cite{Garfinkle1}.

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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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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: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: econ