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math.CO2023
On a Lemma of Schensted
Antoine Abram, Christophe Reutenauer
We give a direct proof of Schensted's lemma asserting that row and column insertion in a tableau commute.
math.RT2023
A generalization of perfectly clustering words and band bricks for certain gentle algebras
Benjamin Dequêne, Mélodie Lapointe, Yann Palu +3
We generalize the perfectly clustering words of Simpson and Puglisi and relate them to band bricks over certain gentle algebras. This allows us to prove a generalization of a conje…