Poset modules of the $0$-Hecke algebras of type $B$

Young-Hun Kim, Dominic Searles

In 2001, Chow developed the theory of the $B_n$ posets $P$ and the type $B$ $P$-partition enumerators $K_P^B$. To provide a representation-theoretic interpretation of $K_P^B$, we d…