Multiplicity-free skew Schur polynomials

Abstract

We provide a non-recursive, combinatorial classification of multiplicity-free skew Schur polynomials. These polynomials are $G{L}_n$, and $S{L}_n$, characters of the skew Schur modules. Our result extends work of H. Thomas--A. Yong, and C. Gutschwager, in which they classify the multiplicity-free skew Schur functions.

45 pages