L. Gagnon

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20202023

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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…

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

A unipotent realization of the chromatic quasisymmetric function

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