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Necessary Conditions for Schur-Positivity | | Peter R. W. McNamara
; | | Date: |
13 Jun 2007 | | 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. | | Source: | arXiv, arxiv.0706.1800 | | Services: | Forum | Review | PDF | Favorites | |
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