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	From triangulated categories to abelian categories: cluster tilting in a general framework
	Koenig, Steffen ; Zhu, Bin
	2010-05-06 ; 2010-05-06
关键词	triangulated categories abelian categories i-orthogonal categories tilting cluster categories gorenstein algebras TILTED ALGEBRAS QUIVERS Mathematics
中文摘要	A general framework for cluster tilting is set up by showing that any quotient of a triangulated category modulo a tilting subcategory (i.e., a maximal 1-orthogonal subcategory) carries an induced abelian structure. These abelian quotients turn out to be module categories of Gorenstein algebras of dimension at most one.
语种	英语 ; 英语
出版者	SPRINGER ; NEW YORK ; 233 SPRING STREET, NEW YORK, NY 10013 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13831]
专题	清华大学
推荐引用方式 GB/T 7714	Koenig, Steffen,Zhu, Bin. From triangulated categories to abelian categories: cluster tilting in a general framework[J],2010, 2010.
APA	Koenig, Steffen,&Zhu, Bin.(2010).From triangulated categories to abelian categories: cluster tilting in a general framework..
MLA	Koenig, Steffen,et al."From triangulated categories to abelian categories: cluster tilting in a general framework".(2010).

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