Antoine Abram

collaborators

3 papers

math.CO2024

Power Quotients of Plactic-like Monoids

Antoine Abram, Florent Hivert, James D. Mitchell +2

In this paper we describe the quotients of several plactic-like monoids by the least congruences containing the relations $a^{σ (a)} = a$ with $σ (a) \geq 2$ for every generator $a$ . T…

math.CO2023

Block-counting sequences are not purely morphic

Antoine Abram, Yining Hu, Shuo Li

Let $m$ be a positive integer larger than $1$ , let $w$ be a finite word over ${0, 1, ..., m - 1}$ and let $a_{m; w} (n)$ be the number of occurrences of the word $w$ in the $…

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.