2007/04/08 by Noohi, Behrang
#FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.0704.1008
For an abelian category A equipped with a torsion pair, we give an explicit description for the abelian category B introduced by Happel-Reiten-Smalo, and also for the category of chain complexes Ch(B) and the derived category D(B) of B. We also describe the DG structure on Ch(B). As a consequence, we find new proofs of certain results of Happel-Reiten-Smalo. The main ingredient is the category of \em decorated complexes.