On multiplicity-free skew characters and the Schubert Calculus

Abstract

In this paper we classify the multiplicity-free skew characters of the symmetric group. Furthermore we show 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 4.2).

14 pages, to appear in Annals. Comb. minor changes from v1 to v2 as suggested by the referees, Example 3.4 inserted so numeration changed in section 3

Cited by in corpus (2)

• Generalised Stretched Littlewood-Richardson Coefficients
• On principal hook length partitions and durfee sizes in skew characters