Discovering product and coproduct Rules for Bases of ${\text{QSym}}_F$ through Supercharacters

Woo-Seok Jung, Young-Tak Oh

In this paper, we establish product and coproduct rules for three bases of the Hopf algebra ${\text{QSym}}_F$ of quasisymmetric functions over $F$, with $F$ being either $\mathbb{C…