Derived equivalences from cohomological approximations and mutations of Φ-Yoneda algebras
Derived equivalences from cohomological approximations and mutations of Φ-Yoneda algebras
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DOI：
10.1017/s030821051100045x
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发表时间：
2011-02
期刊：
影响因子：
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通讯作者：
Weiqun Hu;S. Koenig;Changchang Xi
中科院分区：
文献类型：
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作者：
Weiqun Hu;S. Koenig;Changchang Xi
导出等价的一个新的建设，它涉及到不同的自同态环，更一般地说，上同调自同态环，包括更高的扩展，在三角范畴的对象。这些对象需要通过某些泛映射来连接，这些泛映射是上同调近似，并且存在于非常普遍的情况下。这种构造被证明适用于各种各样的情况，包括有限维代数以及某些无限维代数、Frobenius范畴和n-Calabi-Yau范畴。
A new construction of derived equivalences is given, which relates different endomorphism rings and, more generally, cohomological endomorphism rings, including higher extensions, of objects in triangulated categories. These objects need to be connected by certain universal maps that are cohomological approximations and that exist in very general circumstances. The construction turns out to be applicable to a wide variety of situations, covering finite-dimensional algebras as well as certain infinite-dimensional algebras, Frobenius categories and n-Calabi–Yau categories.