Zhou and Zhu have shown that if $𝒞$ is an $(n+2)$-angulated category and $𝒳$ is a cluster tilting subcategory of $𝒞$, then the quotient category $𝒞/𝒳$ is an $n$-abelian category. We show that if $𝒞$ has Auslander-Reiten $(n+2)$-angles, then $𝒞/𝒳$ has Auslander-Reiten $n$-exact sequences.

We determine the Hochschild cohomology of all finite-dimensional generalized multicoil algebras over an algebraically closed field, which are the algebras for which the Auslander-Reiten quiver admits a separating family of almost cyclic coherent components. In particular, the analytically rigid generalized multicoil algebras are described.