On the First Hochschild Cohomology Group of a Cluster-Tilted Algebra
نویسندگان
چکیده
منابع مشابه
The First Hochschild Cohomology Group of a Cluster tilted Algebra Revisited
Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH(B) with coefficients in the B–B-bimodule B. If C is a tilted algebra such that B is the relation extension of C by E = ExtC(DC,C), then we prove that HH (B) is isomorphic, as a vector space, to the direct sum of HH(C) with HH(B,E). This yields homological interpretations for results of the first and the fourth au...
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Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH(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 Ã. 2000 Mathematics Subject Classification : 16E40
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2015
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-015-9551-x