On duality preservability of Auslander-Reiten quivers of derived categories and cluster categories  

作　　者：Fang LI Lingyu WAN 

机构地区：[1]Department of Mathematics, Zhejiang University (Yuquan Campus), Hangzhou 310027, China

出　　处：《Frontiers of Mathematics in China》2016年第4期957-984,共28页中国高等学校学术文摘·数学（英文）

基　　金：This work was supported by the National Natural Science Foundation of China （Grant Nos. 11271318, 11571173） and the Natural Science Foundation of Zhejiang Province （No. LZ13A010001）.

摘　　要：We give sufficient conditions and necessary conditions on duality preservability of Auslander-Reiten quivers of derived categories and cluster categories over hereditary algebras. of generalized path algebras as cleft Meantime, we characterize the condition extensions of path algebras.We give sufficient conditions and necessary conditions on duality preservability of Auslander-Reiten quivers of derived categories and cluster categories over hereditary algebras. of generalized path algebras as cleft Meantime, we characterize the condition extensions of path algebras.

关 键 词：Dual quiver Auslander-Reiten quiver derived category cluster category 

分 类 号：O224[理学—运筹学与控制论] TS805.4[理学—数学]