Peter R. W. McNamara
Published 2007-06-12, updated 2007-12-21Version 3
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.
Comments: 12 pages, 4 figures. Fixed typos; final version. To appear in the Journal of Algebraic Combinatorics
Journal: J. Algebraic Combin. 28 (4) (2008) 495-507
Equality of skew Schur functions in noncommuting variables
Classifying the near-equality of ribbon Schur functions
Schur functions in noncommuting variables
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