2015/11/19 by Fiorot, Luisa, Mattiello, Francesco, Saorín, Manuel
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1511.06148
Suppose that A is an abelian category whose derived category D(A) has Hom sets and arbitrary (small) coproducts, let T be a (not necessarily classical) (n-)tilting object of A and let H be the heart of the associated t-structure on D(A). We show that the inclusion functor H\hookrightarrowD(A) extends to a triangulated equivalence of unbounded derived categories D(H)\stackrel≅\longrightarrowD(A). The result admits a straightforward dualization to cotilting objects in abelian categories whose derived category has Hom sets and arbitrary products.