On multiplicity-free skew characters and the Schubert Calculus

Details On multiplicity-free skew characters and the Schubert Calculus On multiplicity-free skew characters and the Schubert Calculus

2006-08-06

arxiv.org/abs/math/0608145v2

Annals of Combinatorics: Volume 14, Issue 3 (2010), Page 339

Mathematics

Combinatorics

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

Scientific paper

10.1007/s00026-010-0063-4

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).

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