Hochschild cohomology of some finite category algebras as simplicial cohomology

I. -I. Simion, C. -C. Todea

By a result of Gerstenhaber and Schack the simplicial cohomology ring $H^{\ast }(\mathcal{C};k)$ of a poset $\mathcal{C}$ is isomorphic to the Hochschild cohomology ring $HH^*(k\mathcal{…