Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture

James Haglund, Brendon Rhoades, Mark Shimozono

The symmetric group ${\mathfrak{S}}_n$ acts on the polynomial ring $\mathbb{Q}[{\mathbf{x}}_n]=\mathbb{Q}[x_1,\dots ,x_n]$ by variable permutation. The invariant ideal $I_n$ is the…