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

2016/01/17 by Hao Su, Su, Hao
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1601.04309

openalex publication_date 2016/01/17 · arxiv created 2016/10/30 · arxiv updated 2016/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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