Hochschild cohomology: some methods for computations

We present some results on computing Hochs­ child cohomology groups. We describe the lower cohomology groups and provide several examples. In the particular case of hereditary algebras, radical square zero algebras and inci­ dence algebras, we construct convenient projective resolutions that allow us to compute their cohomology groups. Finally, we show an inductive method to compute the Hochschild co­ homology groups.