Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic keys and Demazure atoms in type C   We compute, mimicking the Lascoux-Sch\"utzenberger type A combinatorial
procedure, left and right keys for a Kashiwara-Nakashima tableau in type C.
These symplectic keys have a similar role as the keys for semistandard Young
tableaux. More precisely, our symplectic keys give a tableau criterion for the
Bruhat order on the hyperoctahedral group and cosets, and describe Demazure
atoms and characters in type C. The right and the left symplectic keys are
related through the Lusztig involution. A type C Sch\"utzenberger evacuation is
defined to realize that involution.

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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: q-bio