Frontiers of Mathematics in China >
Path A∞algebras of positively graded quivers
Received date: 18 Nov 2016
Accepted date: 13 Apr 2017
Published date: 12 Jan 2018
Copyright
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.
Key words: A∞-algebras; Koszul dual; DG-algebras
Hao SU . Path A∞algebras of positively graded quivers[J]. Frontiers of Mathematics in China, 2018 , 13(1) : 173 -185 . DOI: 10.1007/s11464-017-0647-y
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