English

A note on path a-infinity-algebras over positively graded quivers

Representation Theory 2016-11-01 v2

Abstract

Let A be a path A-infinity-algebra over a positively graded quiver Q. It is proved 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.

Keywords

Cite

@article{arxiv.1601.04309,
  title  = {A note on path a-infinity-algebras over positively graded quivers},
  author = {Hao Su},
  journal= {arXiv preprint arXiv:1601.04309},
  year   = {2016}
}
R2 v1 2026-06-22T12:31:10.611Z