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Path A∞ algebras of positively graded quivers

Path A∞ algebras of positively graded quivers
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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.
作者 Hao SU
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2018年第1期173-185,共13页 中国高等学校学术文摘·数学(英文)
关键词 A∞-algebras Koszul dual DG-algebras A∞-algebras, Koszul dual, DG-algebras
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