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On the relation between cluster and classical tilting

Lookup NU author(s): Professor Peter Jorgensen

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Abstract

Let View the MathML source be a triangulated category with a cluster tilting subcategory View the MathML source. The quotient category View the MathML source is abelian; suppose that it has finite global dimension.We show that projection from View the MathML source to View the MathML source sends cluster tilting subcategories of View the MathML source to support tilting subcategories of View the MathML source, and that, in turn, support tilting subcategories of View the MathML source can be lifted uniquely to weak cluster tilting subcategories of View the MathML source.

Publication metadata

Author(s): Holm T, Jorgensen P

Publication type: Article

Publication status: Published

Journal: Journal of Pure and Applied Algebra

Year: 2010

Volume: 214

Issue: 9

Pages: 1523-1533

Date deposited: 07/10/2010

ISSN (print): 0022-4049

ISSN (electronic): 1873-1376

Publisher: Elsevier BV

URL: http://dx.doi.org/10.1016/j.jpaa.2009.11.012

DOI: 10.1016/j.jpaa.2009.11.012

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