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Generalized tilting theory

2012/08/14 by Nicolas, Pedro, Saorin, Manuel
#16G #16W #18G99 #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1208.2803

Abstract

We study necessary and sufficient conditions for a dg bimodule to yield triangle equivalences between (quotients of) the corresponding derived categories. This is related to recent work by Bazzoni-Mantese-Tonolo, Yang, Angeleri Hügel-Koenig-Liu, Chen-Xi, Bazzoni-Pavarin,... on large tilting modules, homological epimorphisms and recollements.

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