Multiplicity-free Skew Schur functions with full interval support

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.

Introduction and Section 5 reorganized. Subsection 4.2 removed; new developments on ribbons will appear in a new paper. A few new details added

References in corpus (2)

• Skew characters which contain only few components
• A hive model determination of multiplicity-free Schur function products and skew Schur functions

Cited by in corpus (1)

• A classification of monotone ribbons with full Schur support with application to the classification of full equivalence classes