Necessary Conditions for Schur-Positivity
Combinatorics
2008-10-02 v3
Abstract
In recent years, there has been considerable interest in showing that certain conditions on skew shapes A and B are sufficient for the difference s_A - s_B 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 s_A = s_B, and we deduce a strengthening of their result as a special case.
Cite
@article{arxiv.0706.1800,
title = {Necessary Conditions for Schur-Positivity},
author = {Peter R. W. McNamara},
journal= {arXiv preprint arXiv:0706.1800},
year = {2008}
}