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