Ordered set partitions and the 0-Hecke algebra

Jia Huang, Brendon Rhoades

Let the symmetric group ${\mathfrak{S}}_n$ act on the polynomial ring $\mathbb{Q}[{\mathbf{x}}_n]=\mathbb{Q}[x_1,\dots ,x_n]$ by variable permutation. The coinvariant algebra is the…