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math.CO2020
An Involution on Semistandard Skyline Fillings
Neil J. Y. Fan, Peter L. Guo, Nicolas Y. Liu
Non-attacking skyline fillings were used by Haglund, Haiman and Loehr to establish a combinatorial formula for nonsymmetric Macdonald polynomials. Semistandard skyline fillings are…
math.CO2020
Complements of Schubert polynomials
Neil J. Y. Fan, Peter L. Guo, Nicolas Y. Liu
Let be the Schubert polynomial for a permutation of . For any given composition , we say that is the comple…