Multiplicity-free Skew Schur functions with full interval support
Combinatorics
2018-08-17 v3 Representation Theory
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 over the full interval.
Cite
@article{arxiv.1009.4170,
title = {Multiplicity-free Skew Schur functions with full interval support},
author = {Olga Azenhas and Alessandro Conflitti and Ricardo Mamede},
journal= {arXiv preprint arXiv:1009.4170},
year = {2018}
}
Comments
Introduction and Section 5 reorganized. Subsection 4.2 removed; new developments on ribbons will appear in a new paper. A few new details added