Maximal supports and Schur-positivity among connected skew shapes

@article{McNamara2012MaximalSA,
  title={Maximal supports and Schur-positivity among connected skew shapes},
  author={Peter R. W. McNamara and Stephanie van Willigenburg},
  journal={Eur. J. Comb.},
  year={2012},
  volume={33},
  pages={1190-1206}
}
The Schur-positivity order on skew shapes is defined by B ≤ A if the difference sA − sB is Schur-positive. It is an open problem to determine those connected skew shapes that are maximal with respect to this ordering. A strong necessary condition for the Schur-positivity of sA−sB is that the support of B is contained in that of A, where the support of B is… CONTINUE READING