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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