3 papers
math.RT2025
Shifted double Poisson structures and noncommutative Poisson extensions
Leilei Liu, Jieheng Zeng, Hu Zhao
We develop a theory of noncommutative Poisson extensions. For an augmented dg algebra \(A\), we show that any shifted double Poisson bracket on \(A\) induces a graded Lie algebra s…
math.RA2019
Koszul duality and the Hochschild cohomology of Artin-Schelter regular algebras
Leilei Liu
We identify two Batalin-Vilkovisky algebra structures, one obtained by Kowalzig and Krahmer on the Hochschild cohomology of an Artin-Schelter regular algebra with semisimple Nakaya…
math.RA2019
Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras
Xiaojun Chen, Farkhod Eshmatov, Leilei Liu
In this paper, we study the gravity algebra structure on the negative cyclic homology or the cyclic cohomology of several classes of algebras. These algebras include: Calabi-Yau al…