Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A crystal-like structure on shifted tableaux   We introduce coplactic raising and lowering operators $E'_i$, $F'_i$, $E_i$,
and $F_i$ on shifted skew semistandard tableaux. We show that the primed
operators and unprimed operators each independently form type A Kashiwara
crystals (but not Stembridge crystals) on the same underlying set and with the
same weight functions. When taken together, the result is a new kind of
`doubled crystal' structure that recovers the combinatorics of type B Schubert
calculus: the highest-weight elements of our crystals are precisely the shifted
Littlewood-Richardson tableaux, and their generating functions are the (skew)
Schur Q functions.

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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
37
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: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th