On the relation between cluster and classical tilting

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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.
20 pages

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Representation Theory, 16G70, 18E10, 18E30, 18G99

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http://salesiana.dossiersoluciones.com/handle/123456789/170514

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.0411
 http://arxiv.org/abs/0810.0411

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arXiv