%0 Journal Article
%T On the relation between cluster and classical tilting
%A Thorsten Holm
%A Peter Jorgensen
%J Mathematics
%D 2008
%I arXiv
%X Let D be a triangulated category with a cluster tilting subcategory U. The quotient category D/U is abelian; suppose that it has finite global dimension. We show that projection from D to D/U sends cluster tilting subcategories of D to support tilting subcategories of D/U, and that, in turn, support tilting subcategories of D/U can be lifted uniquely to maximal 1-orthogonal subcategories of D.
%U http://arxiv.org/abs/0810.0411v1