Equality of multiplicity free skew characters

Abstract

Abstract. In this paper we show that two skew diagrams λ/µ and α/β can represent the same multiplicity free skew character [λ/µ] = [α/β] only in the the trivial cases when λ/µ and α/β are the same up to translation or rotation or if λ = α is a staircase partition λ = (l, l − 1,...,2, 1) and λ/µ and α/β are conjugate of each other. 1.