Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schur positivity of skew Schur function differences and applications to
  ribbons and Schubert classes   Some new relations on skew Schur function differences are established both
combinatorially using Sch\"utzenberger's jeu de taquin, and algebraically using
Jacobi-Trudi determinants. These relations lead to the conclusion that certain
differences of skew Schur functions are Schur positive. Applying these results
to a basis of symmetric functions involving ribbon Schur functions confirms the
validity of a Schur positivity conjecture due to McNamara. A further
application reveals that certain differences of products of Schubert classes
are Schubert positive.

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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
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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: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org