4 papers
Separating trees and simple congruences of the weak order
Emily Barnard, Jean-Christophe Novelli, Vincent Pilaud
A congruence of the weak order is simple if its quotientope is a simple polytope. We provide an alternative elementary proof of the characterization of the simple congruences in te…
The noncommutative geode
Jean-Christophe Novelli, Jean-Yves Thibon
We investigate the geode and some of its generalizations from the point of view on noncommutative symmetric functions.
Noncommutative chromatic quasi-symmetric functions, Macdonald polynomials, and the Yang-Baxter equation
Jean-Christophe Novelli, Jean-Yves Thibon
As shown in our paper [JCTA 177 (2021), Paper No. 105305], the chromatic quasi-symmetric function of Shareshian-Wachs can be lifted to , the algebra of quasi-symmetric…
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 with for every generator .…