On the relation between cluster and classical tilting
Representation Theory
2008-10-03 v1
Abstract
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.
Cite
@article{arxiv.0810.0411,
title = {On the relation between cluster and classical tilting},
author = {Thorsten Holm and Peter Jorgensen},
journal= {arXiv preprint arXiv:0810.0411},
year = {2008}
}
Comments
20 pages