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arXiv · 1009.4170

Multiplicity-free Skew Schur functions with full interval support

Olga Azenhas·Alessandro Conflitti·Ricardo Mamede
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Abstract

It is known that the Schur expansion of a skew Schur function runs over the interval of partitions, equipped with dominance order, defined by the least and the most dominant Littlewood-Richardson filling of the skew shape. We characterise skew Schur functions (and therefore the product of two Schur functions) which are multiplicity-free and the resulting Schur expansion runs over the whole interval of partitions, i.e. skew Schur functions having Littlewood-Richardson coefficients always equal to $1$ over the full interval.

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Olga Azenhas, Alessandro Conflitti, Ricardo Mamede. 2018-08-15. Multiplicity-free Skew Schur functions with full interval support. https://arxiv.org/abs/1009.4170

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