Subcategories of Fixed Points of Mutations by Exceptional Objects in Triangulated Categories

作     者：Li Dan TANG 

作者机构：College of Mathematics and Computer ScienceFuzhou University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2016年第32卷第2期

页      面：187-198页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11126268,11071040) Science and Technology Development Fund of Fuzhou University(Grant No.2011-xq-22) 

主　　题：Subcategory of fixed points exceptional object recollement 

摘      要：We first prove that the subcategory of fixed points of mutation determined by an excep- tional object E in a triangulated category coincide with the perpendicular category of E. Based on this characterisation, we prove that the subcategory of fixed points of mutation in the derived category of the coherent sheaves on weighted projective line with genus one is equivalent to the derived category of a hereditary algebra. Meanwhile, we induce two new recollements by left and right mutations from a given recollement.