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

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

2007-12-18

arxiv.org/abs/0712.2962v1

Manuscripta Math. 128 (2009), no. 3, 373-388

Mathematics

Rings and Algebras

17 pages

Scientific paper

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}}.

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