Derived equivalences from cohomological approximations and mutations of Φ-Yoneda algebras
2013 ◽
Vol 143
(3)
◽
pp. 589-629
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Keyword(s):
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.
2008 ◽
Vol 3
(3)
◽
pp. 583-601
◽
1990 ◽
Vol 22
(1)
◽
pp. 153-159
2017 ◽
Vol 369
(1-2)
◽
pp. 397-439
◽
2013 ◽
Vol 24
(10)
◽
pp. 1350081
◽
2020 ◽
Vol 0
(0)
◽
2010 ◽
Vol 200
◽
pp. 107-152
◽
2010 ◽
Vol 200
◽
pp. 107-152
◽
2008 ◽
pp. 397-399