We provide a non-recursive, combinatorial classification of multiplicity-free skew Schur polynomials. These polynomials are , and , 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.
Revised:
Accepted:
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Classification: 05E05, 05E10
Keywords: Skew–Schur polynomial, Littlewood–Richardson tableaux, multiplicity-free.
Author's affiliations:
@article{ALCO_2021__4_6_1073_0, author = {Gao, Shiliang and Hodges, Reuven and Orelowitz, Gidon}, title = {Multiplicity-free skew {Schur} polynomials}, journal = {Algebraic Combinatorics}, pages = {1073--1117}, publisher = {MathOA foundation}, volume = {4}, number = {6}, year = {2021}, doi = {10.5802/alco.192}, language = {en}, url = {https://alco.centre-mersenne.org/articles/10.5802/alco.192/} }
TY - JOUR TI - Multiplicity-free skew Schur polynomials JO - Algebraic Combinatorics PY - 2021 DA - 2021/// SP - 1073 EP - 1117 VL - 4 IS - 6 PB - MathOA foundation UR - https://alco.centre-mersenne.org/articles/10.5802/alco.192/ UR - https://doi.org/10.5802/alco.192 DO - 10.5802/alco.192 LA - en ID - ALCO_2021__4_6_1073_0 ER -
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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