Multiplicity Free Schur, Skew Schur, and Quasisymmetric Schur Functions

  title={Multiplicity Free Schur, Skew Schur, and Quasisymmetric Schur Functions},
  author={Christine Bessenrodt and Stephanie van Willigenburg},
In this paper we classify all Schur functions and skew Schur functions that are multiplicity free when expanded in the basis of fundamental quasisymmetric functions, termed F-multiplicity free. Combinatorially, this is equivalent to classifying all skew shapes whose standard Young tableaux have distinct descent sets. We then generalize our setting, and classify all F-multiplicity free quasisymmetric Schur functions with one or two terms in the expansion, or one or two parts in the indexing… CONTINUE READING

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