Séminaire Lotharingien de Combinatoire, B75j (2019), 34 pp.
Olga Azenhas, Alessandro Conflitti and Ricardo Mamede
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.
Received: March 3, 2016.
Accepted: August 10, 2018.
Final Version: September 30, 2019.
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