6 papers
S-squareful values of binary quadratic forms
Sarah Sophie Pohl
Shute showed that the leading constant in the asymptotic formula for squareful values of the form does not match with the conjecture established by Pieropan, Smeets, Ta…
Block-counting sequences are not purely morphic
Antoine Abram, Yining Hu, Shuo Li
Let be a positive integer larger than , let be a finite word over and let be the number of occurrences of the word in the $…
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.
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…
An order on circular permutations
Antoine Abram, Nathan Chapelier-Laget, Christophe Reutenauer
Motivation coming from the study of affine Weyl groups, a structure of ranked poset is defined on the set of circular permutations in (that is, -cycles). It is isomorphic…