ALGEBRAIC COMBINATORICS

no. 6
Multiplicity-free skew Schur polynomials
Gao, Shiliang 1; Hodges, Reuven 1; Orelowitz, Gidon 1
1. Dept. of Mathematics, U. Illinois at Urbana-Champaign, Urbana, IL 61801, USA
Algebraic Combinatorics, Volume 4 (2021) no. 6, pp. 1073-1117.

We provide a non-recursive, combinatorial classification of multiplicity-free skew Schur polynomials. These polynomials are GL n , and SL 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.

Received:
Revised:
Accepted:
Published online:
DOI: https://doi.org/10.5802/alco.192
Classification: 05E05,  05E10
Keywords: Skew–Schur polynomial, Littlewood–Richardson tableaux, multiplicity-free.
Gao, Shiliang 1; Hodges, Reuven 1; Orelowitz, Gidon 1

1. Dept. of Mathematics, U. Illinois at Urbana-Champaign, Urbana, IL 61801, USA 
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Gao, Shiliang; Hodges, Reuven; Orelowitz, Gidon. Multiplicity-free skew Schur polynomials. Algebraic Combinatorics, Volume 4 (2021) no. 6, pp. 1073-1117. doi : 10.5802/alco.192. https://alco.centre-mersenne.org/articles/10.5802/alco.192/

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