Hochschild cohomology of m-cluster tilted algebras of type (A)over-tilde

被引：0
作者：
Gubitosi, Viviana [1 ]
机构：
[1] Fac Ingn Udelar, Inst Matemat & Estadist Rafael Laguardia, Montevideo 11200, Uruguay
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 02期
关键词：
m-cluster tilted algebras; gentle algebras; derived equivalence; Hochschild cohomology; branched algebras; EQUIVALENCE CLASSIFICATION;
D O I：
10.1142/S0219498821500183
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we compute the dimension of the Hochschild cohomology groups of any m-cluster tilted algebra of type (A) over tilde. Moreover, we give conditions on the bounded quiver of an m-cluster tilted algebra Lambda of type (A) over tilde such that the Gerstenhaber algebra HH* (Lambda) has nontrivial multiplicative structures. We also show that the derived class of gentle m-cluster tilted algebras is not always completely determined by the dimension of the Hochschild cohomology.
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页数：12
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