Universal derived equivalences of posets of cluster tilting objects
Universal derived equivalences of posets of cluster tilting objects
复制标题
簇倾斜物体偏序集的普遍导出等价
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
Sefi Ladkani
中科院分区：
文献类型：
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作者：
Sefi Ladkani
我们表明，对于两个颤抖没有定向周期相关的BGP反射，偏序集的集群倾斜对象相关的一个简单的组合建设，我们称之为触发器。
证明了无定向圈箭图的导等价路代数的簇倾斜对象的偏序集是泛导等价的。特别是，所有寒武纪晶格对应于同一Dynkin图的各种取向是普遍导出等价的。
We show that for two quivers without oriented cycles related by a BGP reflection, the posets of their cluster tilting objects are related by a simple combinatorial construction, which we call a flip-flop.
We deduce that the posets of cluster tilting objects of derived equivalent path algebras of quivers without oriented cycles are universally derived equivalent. In particular, all Cambrian lattices corresponding to the various orientations of the same Dynkin diagram are universally derived equivalent.
DOI：
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发表时间：
2022
期刊：
影响因子：
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作者：
Hanihara Norihiro;Norihiro Hanihara;Norihiro Hanihara
通讯作者：
Norihiro Hanihara