Alexander duals of symmetric simplicial complexes and Stanley-Reisner Ideals

Ayah Almousa, Kaitlin Bruegge, Martina Juhnke-Kubitzke +2

Given an ascending chain $(I_n{)}_{n\in \mathbb{N}}$ of $\Sym$-invariant squarefree monomial ideals, we study the corresponding chain of Alexander duals $(I_n^{\vee }{)}_{n\in \mathbb{N}}$.…