Path A∞ algebras of positively graded quivers  

作　　者：Hao SU 

机构地区：[1]School of Mathematical Sciences, University of Science and Technology of China,Hefei 230026, China

出　　处：《Frontiers of Mathematics in China》2018年第1期173-185,共13页中国高等学校学术文摘·数学（英文）

摘　　要：Let A be a path A∞-algebra over a positively graded quiver Q. We prove that the derived category of A is triangulated equivalent to the derived category of kQ, which is viewed as a DG algebra with trivial differential. The main technique used in the proof is Koszul duality for DG algebras.Let A be a path A∞-algebra over a positively graded quiver Q. We prove that the derived category of A is triangulated equivalent to the derived category of kQ, which is viewed as a DG algebra with trivial differential. The main technique used in the proof is Koszul duality for DG algebras.

关 键 词：A∞-algebras Koszul dual DG-algebras 

分 类 号：O15[理学—数学] P444[理学—基础数学]