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The first Hochschild cohomology group of a schurian cluster-tilted algebra |
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| Authors: | Ibrahim Assem María Julia Redondo |
| Affiliation: | (1) Département de Mathématiques, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada;(2) Instituto de Matemática, Universidad Nacional del Sur, Av. Alem 1253, 8000 Bahía Blanca, Argentina |
| 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  . M. J. Redondo is a researcher from CONICET, Argentina. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) 16E40 |
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