3 papers
math.QA2026
Duality for graded Lie algebras
Andrey Lazarev, Rong Tang
A well-known and old result of Hazewinkel and Koszul states that the cohomology of a finite-dimensional Lie algebra is isomorphic, up to a suitable shift, to its twisted homology,…
math.RA2025
Homotopy theory of post-Lie algebras
Andrey Lazarev, Yunhe Sheng, Rong Tang
In this paper, we study the homotopy theory of post-Lie algebras. Guided by Koszul duality theory, we consider the graded Lie algebra of coderivations of the cofree conilpotent gra…
math.CT2023
Hochschild cohomology of the second kind: Koszul duality and Morita invariance
Ai Guan, Julian Holstein, Andrey Lazarev +1
We define Hochschild cohomology of the second kind for differential graded (dg) or curved algebras as a derived functor in the twisted derived category. The Hochschild cohomology o…