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Full-Text Articles in Physical Sciences and Mathematics
On The Topology Of The Permutation Pattern Poset, Peter R. W. Mcnamara, Einar Steingrímsson
On The Topology Of The Permutation Pattern Poset, Peter R. W. Mcnamara, Einar Steingrímsson
Peter R. W. McNamara
Comparing Skew Schur Functions: A Quasisymmetric Perspective, Peter R. W. Mcnamara
Comparing Skew Schur Functions: A Quasisymmetric Perspective, Peter R. W. Mcnamara
Peter R. W. McNamara
Reiner, Shaw and van Willigenburg showed that if two skew Schur functions sA and sB are equal, then the skew shapes $A$ and $B$ must have the same "row overlap partitions." Here we show that these row overlap equalities are also implied by a much weaker condition than Schur equality: that sA and sB have the same support when expanded in the fundamental quasisymmetric basis F. Surprisingly, there is significant evidence supporting a conjecture that the converse is also true.
In fact, we work in terms of inequalities, showing that if the F-support of sA …