On tilting complexes providing derived equivalences that send simple-minded objects to simple objects - Mathematics > Representation TheoryReport as inadecuate




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Abstract: Given a set of -simple-minded- objects in a derived category, Rickardconstructed a complex, which over a symmetric algebra provides a derivedequivalence sending the -simple-minded- objects to simple ones. We characterisein terms of t-structures, when this complex is a tilting complex, show thatthere is an associated natural $t$-structure and we provide an alternativeconstruction of this complex in terms of A-infinity-structures. Our approach issimilar to that of Keller-Nicol\-as.



Author: Steffen Koenig, Dong Yang

Source: https://arxiv.org/







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