Derived representation type and cleaving functors

Derived representation type and cleaving functors
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派生表示类型和分裂函子

DOI:
10.1080/00927872.2017.1399404
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发表时间:
2018-06
影响因子:
0.7
通讯作者:
Chao Zhang
Chao Zhang
中科院分区:
数学3区
文献类型:
--
作者:
Chao Zhang

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摘要引入了弱导调和的概念,建立了有限整体维代数的导调和弱导调和的等价性。此外,我们还观察了派生表示类型与分裂函子之间的关系,得到了判定一个代数为导子野性的方法。作为应用,我们确定了自内射Nakayama代数的导出表示类型。
ABSTRACT We introduce the notation of weakly derived tameness, and establish the equivalence of derived tameness and weakly derived tameness for algebras of finite global dimension. Moreover, we observe the relation between derived representation type and cleaving functors, and obtain a method to judge an algebra to be derived wild. As an application, we determine the derived representation type of self-injective Nakayama algebras.
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