Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lusztig data of Kashiwara-Nakashima tableaux in type D   We describe the embedding from the crystal of Kashiwara-Nakashima tableaux in
type $D$ of an arbitrary shape into that of $\mathbf{i}$-Lusztig data
associated to a family of reduced expressions $\mathbf{i}$ which are compatible
with the maximal Levi subalgebra of type $A$. The embedding is described
explicitly in terms of well-known combinatorics of type $A$ including the
Sch\"{u}tzenberger's jeu de taquin and an analog of RSK algorithm.

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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: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat