Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivatives of Schubert polynomials and proof of a determinant
  conjecture of Stanley   We study the action of a differential operator on Schubert polynomials. Using
this action, we first give a short new proof of an identity of I. Macdonald
(1991). We then prove a determinant conjecture of R. Stanley (2017). This
conjecture implies the (strong) Sperner property for the weak order on the
symmetric group, a property recently established by C. Gaetz and Y. Gao (2018).

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The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg