Cohomology of Lie coalgebras
Joseph Chuang
University of London, UKAndrey Lazarev
Lancaster University, UKYunhe Sheng
Jilin University, P. R. ChinaRong Tang
Jilin University, P. R. China
Abstract
A Koszul duality-type correspondence between coderived categories of conilpotent differential graded Lie coalgebras and their Chevalley–Eilenberg differential graded algebras is established. This gives an interpretation of Lie coalgebra cohomology as a certain kind of derived functor. A similar correspondence is proved for coderived categories of commutative cofibrant differential graded algebras and their Harrison differential graded Lie coalgebras.
Cite this article
Joseph Chuang, Andrey Lazarev, Yunhe Sheng, Rong Tang, Cohomology of Lie coalgebras. J. Noncommut. Geom. (2026), published online first
DOI 10.4171/JNCG/653