Proper abelian subcategories of triangulated categories and their tilting theory
Peter Jorgensen
Abstract:In the theory of triangulated categories, we propose to replace hearts of t-structures by proper abelian subcategories, which may be plentiful even when hearts are not. For instance, this happens in negative cluster categories.In support of our proposal, we show that proper abelian subcategories with a few vanishing negative self extensions permit a tilting theory which is a direct generalisation of Happel-Reiten-Smalø tilting of hearts.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.