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

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Abstract

Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH1(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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Authors and Affiliations

  1. Département de Mathématiques, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada

    Ibrahim Assem

  2. Instituto de Matemática, Universidad Nacional del Sur, Av. Alem 1253, 8000, Bahía Blanca, Argentina

    María Julia Redondo

Authors
  1. Ibrahim Assem
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  2. María Julia Redondo
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Correspondence to María Julia Redondo.

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M. J. Redondo is a researcher from CONICET, Argentina.

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Assem, I., Redondo, M.J. The first Hochschild cohomology group of a schurian cluster-tilted algebra. manuscripta math. 128, 373–388 (2009). https://doi.org/10.1007/s00229-008-0238-z

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  • DOI: https://doi.org/10.1007/s00229-008-0238-z

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