paper

The first Hochschild cohomology group of a schurian cluster-tilted algebra

arXiv:0712.2962

Abstract

Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH^1(B) with coefficients in the B-B-bimodule B. We find several consequences when B is representation-finite, and also in the case where B is cluster-tilted of type \tilde{\mathbb{A}}.

arXiv comment17 pages