Charmed roots and the Kroweras complement

Although both noncrossing partitions and nonnesting partitions are uniformly enumerated for Weyl groups, the exact relationship between these two sets of combinatorial objects remains frustratingly mysterious. In this paper, we give a precise combinatorial answer in the case of the symmetric group:...

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Veröffentlicht in:Journal of the London Mathematical Society 2024-11, Vol.110 (5), p.n/a
Hauptverfasser: Dequêne, Benjamin, Frieden, Gabriel, Iraci, Alessandro, Schreier‐Aigner, Florian, Thomas, Hugh, Williams, Nathan
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Sprache:eng
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