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- W4313201865 abstract "The $textit{Edelman-Greene statistic}$ of S. Billey-B. Pawlowski measures the shortness of the Schur expansion of a Stanley symmetric function. We show that the maximum value of this statistic on permutations of Coxeter length $n$ is the number of involutions in the symmetric group $S_n$, and explicitly describe the permutations that attain this maximum. Our proof confirms a recent conjecture of C. Monical, B. Pankow, and A. Yong: we give an explicit combinatorial injection between a certain collections of Edelman-Greene tableaux and standard Young tableaux." @default.
- W4313201865 created "2023-01-06" @default.
- W4313201865 creator A5021459464 @default.
- W4313201865 date "2019-08-29" @default.
- W4313201865 modified "2023-10-02" @default.
- W4313201865 title "Maximizing the Edelman-Greene statistic" @default.
- W4313201865 doi "https://doi.org/10.48550/arxiv.1908.11455" @default.
- W4313201865 hasPublicationYear "2019" @default.
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