L. Gagnon

activity

20202023

collaborators

4 papers

math.CO2023

The excedance quotient of the Bruhat order, Quasisymmetric Varieties and Temperley-Lieb algebras

Nantel Bergeron, Lucas Gagnon

Let $R_{n} = Q [x_{1}, x_{2}, \dots, x_{n}]$ be the ring of polynomial in $n$ variables and consider the ideal $⟨ QSym_{n}^{+} ⟩ \subseteq R_{n}$ generated by quasisym…

math.CO2022

A $GL (F_{q})$ -compatible Hopf algebra of unitriangular class functions

Lucas Gagnon

This paper constructs a novel Hopf algebra $cf (UT_{∙})$ on the class functions of the unipotent upper triangular groups $UT_{n} (F_{q})$ ov…

math.CO2022

A unipotent realization of the chromatic quasisymmetric function

Lucas Gagnon

This paper realizes of two families of combinatorial symmetric functions via the complex character theory of the finite general linear group $GL_{n} (F_{q})$ : chro…

math.CO2020

The combinatorics of normal subgroups in the unipotent upper triangular group

Lucas Gagnon

Describing the conjugacy classes of the unipotent upper triangular groups $UT_{n} (F_{q})$ uniformly (for all or many values of $n$ and $q$ ) is a nearly impossible…

The excedance quotient of the Bruhat order, Quasisymmetric Varieties and Temperley-Lieb algebras

A GL(Fq​)-compatible Hopf algebra of unitriangular class functions

A unipotent realization of the chromatic quasisymmetric function

The combinatorics of normal subgroups in the unipotent upper triangular group

A $GL (F_{q})$ -compatible Hopf algebra of unitriangular class functions