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- W2947283388 abstract "Young’s lattice is a partial order on integer partitions whose saturated chains correspond to standard Young tableaux, one type of combinatorial object that generates the Schur basis for symmetric functions. Generalizing Young’s lattice, we introduce a new partial order on weak compositions that we call the key poset. Saturated chains in this poset correspond to standard key tableaux, the combinatorial objects that generate the key polynomials, a nonsymmetric polynomial generalization of the Schur basis. Generalizing skew Schur functions, we define skew key polynomials in terms of this new poset. Using weak dual equivalence, we give a nonnegative weak composition Littlewood–Richardson rule for the key expansion of skew key polynomials, generalizing the flagged Littlewood–Richardson rule of Reiner and Shimozono." @default.
- W2947283388 created "2019-06-07" @default.
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- W2947283388 date "2022-06-01" @default.
- W2947283388 modified "2023-10-18" @default.
- W2947283388 title "Skew key polynomials and a generalized Littlewood–Richardson rule" @default.
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- W2947283388 doi "https://doi.org/10.1016/j.ejc.2022.103518" @default.
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