Necessary conditions for Schur-positivity

  title={Necessary conditions for Schur-positivity},
  author={Peter R. W. McNamara},
In recent years, there has been considerable interest in showing that certain conditions on skew shapes A and B are sufficient for the difference sA − sB of their skew Schur functions to be Schur-positive. We determine necessary conditions for the difference to be Schur-positive. Our conditions are motivated by those of Reiner, Shaw and van Willigenburg that are necessary for sA = sB , and we deduce a strengthening of their result as a special case. 

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