59 citations · 217 across the 34 of their papers we have counts for
41 papers
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.
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…
The palindromization map
Dominique Perrin, Christophe Reutenauer
The palindromization map has been defined initially by Aldo de Luca in the context of Sturmian words. It was extended to the free group of rank by Kassel and the second autho W…
Quivers of stylic algebras
Antoine Abram, Christophe Reutenauer, Franco Saliola
We construct a complete system of primitive orthogonal idempotents and give an explicit quiver presentation of the monoid algebra of the stylic monoid introduced by Abram and Reute…
The Stylic Monoid
Antoine Abram, Christophe Reutenauer
The free monoid on a finite totally ordered alphabet acts at the left on columns, by Schensted left insertion. This defines a finite monoid, denoted and called…
Primitive Elements of the Hopf Algebras of Tableaux
Claudia Malvenuto, Christophe Reutenauer
The character theory of symmetric groups, and the theory of symmetric functions, both make use of the combinatorics of Young tableaux, such as the Robinson-Schensted algorithm, Sch…