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Gluing of n -Cluster Tilting Subcategories for Representation-directed Algebras
Algebras and Representation Theory ( IF 0.5 ) Pub Date : 2020-10-12 , DOI: 10.1007/s10468-020-09967-9 Laertis Vaso
中文翻译:
表示定向代数的n簇倾斜子类别的粘合
更新日期:2020-10-12
Algebras and Representation Theory ( IF 0.5 ) Pub Date : 2020-10-12 , DOI: 10.1007/s10468-020-09967-9 Laertis Vaso
Given \(n\leq d<\infty \), we investigate the existence of algebras of global dimension d which admit an n-cluster tilting subcategory. We construct many such examples using representation-directed algebras. First, given two representation-directed algebras A and B, a projective A-module P and an injective B-module I satisfying certain conditions, we show how we can construct a new representation-directed algebra
中文翻译:
表示定向代数的n簇倾斜子类别的粘合
鉴于\(N \当量d <\ infty \) ,我们研究了全球范围的代数的存在d承认存在一个ň -cluster倾斜子类别。我们使用表示导向的代数构造了许多这样的例子。首先,给出了两个代表性指导代数一和乙,投射一个-模P和射乙-module我满足一定的条件下,我们将展示我们如何构建一个新表示,针对代数