Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schensted-type correspondences and plactic monoids for types $B_{n}$ and
  $D_{n}$   We use Kashiwara's theory of crystal bases to study plactic monoids for
$U_{q}(so_{2n+1})$ and $U_{q}(so_{2n})$. Simultaneously we describe a Schensted
type correspondence in the crystal graphs of tensor powers of vector and spin
representations and we derive a Jeu de Taquin for type $B$ from the Sheats
sliding algorithm.

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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ