1 citations · 1 across the 7 of their papers we have counts for
8 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…
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.
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…
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 . T…
Acyclic orientations and Hessenberg varieties
Jean-Christophe Novelli, Jean-Yves Thibon
We exhibit a bijection between acyclic orientations of a Dyck graph and Tymoczko cells of a regular nilpotent Hessenberg variety. This implies the Shareshian-Wachs formula for the…
The (1-E)-transform in combinatorial Hopf algebras
F. Hivert, J. -G. Luque, J. -C. Novelli +1
We extend to several combinatorial Hopf algebras the endomorphism of symmetric functions sending the first power-sum to zero and leaving the other ones invariant. As a transformati…
Yang-Baxter bases of 0-Hecke algebras and representation theory of 0-Ariki-Koike-Shoji algebras
F. Hivert, J. -C. Novelli, J. -Y. Thibon
After reformulating the representation theory of 0-Hecke algebras in an appropriate family of Yang-Baxter bases, we investigate certain specializations of the Ariki-Koike algebras,…