  We construct a resolution of irreducible complex representations of the
symmetric group $S_n$ by restrictions of representations of $GL_n(\mathbb{C})$
(where $S_n$ is the subgroup of permutation matrices). This categorifies a
recent result of Assaf and Speyer. Our construction also gives minimal
resolutions of simple $\mathcal{F}$-modules (here $\mathcal{F}$ is the category
of finite sets).
