FROM TRIANGULATED CATEGORIES TO MODULE CATEGORIES VIA LOCALISATION

被引：1

作者：

Buan, Aslak Bakke ^{[1
]}

Marsh, Robert J. ^{[2
]}

机构：

[1] Norges Tekn Naturvitenskapelige Univ, Inst Matemat Fag, N-7491 Trondheim, Norway

[2] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

Triangulated categories; 2-Calabi-Yau categories; localisation; module categories; rigid objects; cluster-tilting objects; approximations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the category of finite dimensional modules over the endomorphism algebra of a rigid object in a Hom-finite triangulated category is equivalent to the Gabriel-Zisman localisation of the category with respect to a certain class of maps. This generalises the 2-Calabi-Yau tilting theorem of Keller-Reiten, in which the module category is obtained as a factor category, to the rigid case.

引用

页码：2845 / 2861

页数：17

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