On multiplicity-free skew characters and the Schubert Calculus
Combinatorics
2010-11-09 v2 Algebraic Geometry
Representation Theory
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).
Cite
@article{arxiv.math/0608145,
title = {On multiplicity-free skew characters and the Schubert Calculus},
author = {Christian Gutschwager},
journal= {arXiv preprint arXiv:math/0608145},
year = {2010}
}
Comments
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