6 citations · 11 across the 5 of their papers we have counts for
5 papers
Calabi-Yau property under monoidal Morita-Takeuchi equivalence
Xingting Wang, Xiaolan Yu, Yinhuo Zhang
Let and be two Hopf algebras such that their comodule categories are monoidal equivalent. We prove that if is a twisted Calabi-Yau (CY) Hopf algebra, then is a twis…
Pointed -dimensional Hopf algebras in positive characteristic
Van C. Nguyen, Xingting Wang
We classify pointed -dimensional Hopf algebras over any algebraically closed field of prime characteristic . In particular, we focus on the cases when the group $…
A note on the duality between Poisson homology and cohomology
Jiafeng Lü, Xingting Wang, Guangbin Zhuang
For a Poisson algebra , by studying its universal enveloping algebra , we prove a duality theorem between Poisson homology and cohomology of .
Universal enveloping algebras of differential graded Poisson algebras
Jiafeng Lü, Xingting Wang, Guangbin Zhuang
In this paper, we introduce the notion of differential graded Poisson algebra and study its universal enveloping algebra. From any differential graded Poisson algebra , we const…
Universal enveloping algebras of Poisson Hopf algebras
Jiafeng Lü, Xingting Wang, Guangbin Zhuang
For a Poisson algebra , by exploring its relation with Lie-Rinehart algebras, we prove a Poincaré-Birkoff-Witt theorem for its universal enveloping algebra . Some general p…