Corrigendum to "Mutation of frozen Jacobian algebras" [J. Algebra 546 (2020) 236-273]
Corrigendum to "Mutation of frozen Jacobian algebras" [J. Algebra 546 (2020) 236-273]
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“冻结雅可比代数的突变”的勘误表 [J.
DOI：
10.1016/j.jalgebra.2021.09.009
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发表时间：
2021
影响因子：
0.9
通讯作者：
Pressland M
中科院分区：
文献类型：
--
作者：
Pressland M
我们调查结果突变的雅可比代数，同时将其扩展到更一般的设置冻结雅可比代数，这自然产生的二聚体模型的边界和添加剂范畴的集群代数冻结变量通过Frobenius类别的上下文中。作为一个应用，我们表明，突变的集群倾斜对象在各种这样的分类，如格拉斯曼集群类别的詹森-金-苏，是兼容的Fomin-Zelevinsky突变的箭。我们还描述了一个扩展的组合突变规则，允许箭头之间的冻结顶点，所产生的颤抖，通常有从duplexications和二聚体模型。
We survey results on mutations of Jacobian algebras, while simultaneously extending them to the more general setup of frozen Jacobian algebras, which arise naturally from dimer models with boundary and in the context of the additive categorification of cluster algebras with frozen variables via Frobenius categories. As an application, we show that the mutation of cluster-tilting objects in various such categorifications, such as the Grassmannian cluster categories of Jensen–King–Su, is compatible with Fomin–Zelevinsky mutation of quivers. We also describe an extension of this combinatorial mutation rule allowing for arrows between frozen vertices, which the quivers arising from categorifications and dimer models typically have.