Hochschild cohomology of the cluster-tilted algebras of finite representation type

TL;DR

This paper calculates the Hochschild cohomology groups for a specific class of algebras known as cluster-tilted algebras of finite representation type, providing insights into their algebraic structure.

Contribution

It presents the first explicit computation of Hochschild cohomology for these algebras, advancing understanding of their properties.

Findings

Hochschild cohomology groups are explicitly computed for all such algebras.

Results reveal structural patterns in the cohomology groups.

Findings contribute to the classification and analysis of cluster-tilted algebras.

Abstract

We compute the Hochschild cohomology groups of the cluster-tilted algebras of finite representation type.