Abstract
In this paper we introduce a partial order on the set of skew characters of the symmetric group which we use to classify the multiplicity-free skew characters. Furthermore, we give a short and easy proof that the Schubert calculus is equivalent to that of skew characters in the following sense: If we decompose the product of two Schubert classes we get the same as if we decompose a skew character and replace the irreducible characters by Schubert classes of the ‘inverse’ partitions (Theorem 4.3).
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Gutschwager, C. On Multiplicity-Free Skew Characters and the Schubert Calculus. Ann. Comb. 14, 339–353 (2010). https://doi.org/10.1007/s00026-010-0063-4
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DOI: https://doi.org/10.1007/s00026-010-0063-4