Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type D
Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type D
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DOI：
10.1016/j.jalgebra.2014.03.034
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发表时间：
2010-12
影响因子：
0.9
通讯作者：
Janine Bastian;T. Holm;Sefi Ladkani
中科院分区：
文献类型：
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作者：
Janine Bastian;T. Holm;Sefi Ladkani
我们提供了一个深远的派生等价分类的Dynkin型D-cluster-tightened代数，并建议标准形式的派生等价类。我们认为，分类是完整的，但一些微妙的问题仍然悬而未决。我们引入另一个概念的等价calledgood mutationequivalence这是略强于派生等价，但算法更听话，并给出一个完整的分类与标准形式。
We provide a far reaching derived equivalence classification of the cluster-tilted algebras of Dynkin typeDand suggest standard forms for the derived equivalence classes. We believe that the classification is complete, but some subtle questions remain open. We introduce another notion of equivalence calledgood mutationequivalence which is slightly stronger than derived equivalence but is algorithmically more tractable, and give a complete classification together with standard forms.