Distinguished filtrations of the $0$-Hecke modules for dual immaculate quasisymmetric functions

So-Yeon Lee, Young-Tak Oh

Let $\alpha$ range over the set of compositions. Dual immaculate quasisymmetric functions ${\mathfrak{S}}_{\alpha }^{\ast }$, introduced by Berg, Bergeron, Saliola, Serrano, and Zabrocki, provide a qua…