22 citations · 57 across the 27 of their papers we have counts for
5 papers · 1 filter
Nakayama automorphism and applications
Jiafeng Lu, Xuefeng Mao, James J. Zhang
Nakayama automorphism is used to study group actions and Hopf algebra actions on Artin-Schelter regular algebras of global dimension three.
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 Ore extensions
Jiafeng Lü, Xingting Wang, Guangbin Zhuang
We prove that the universal enveloping algebra of a Poisson-Ore extension is a length two iterated Ore extension of the original universal enveloping algebra. As consequences, we o…
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…