Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: NW-SE expansions of non-symmetric Cauchy kernels on near staircases and
  growth diagrams   Lascoux has given a triangular version of the Cauchy identity where Schur
polynomials are replaced by Demazure characters and Demazure atoms. He has then
used the staircase expansion to recover expansions for all Ferrers shapes,
where the Demazure characters and Demazure atoms are under the action of
Demazure operators specified by the cells above the staircase. The
characterisation of the tableau-pairs in these last expansions is less
explicit. We give here a bijective proof for expansions over near staircases,
where the tableau-pairs are made explicit. Our analysis formulates Mason's RSK
analogue, for semi-skylines augmented fillings, in terms of growth diagrams.

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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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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: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: supr-con