Poset modules of the $0$-Hecke algebras and related quasisymmetric power sum expansions

Seung-Il Choi, Young-Hun Kim, Young-Tak Oh

Duchamp--Hivert--Thibon introduced the construction of a right $H_n(0)$-module, denoted as $M_P$, for any partial order $P$ on the set $[n]$. This module is defined by specifying a…