Guangbin Zhuang

most citedExistence of Hopf subalgebras of GK-dimension two

2 citations · 4 across the 4 of their papers we have counts for

collaborators

4 papers

math.RA2014

A note on the duality between Poisson homology and cohomology

Jiafeng Lü, Xingting Wang, Guangbin Zhuang

For a Poisson algebra $A$ , by studying its universal enveloping algebra $A^{p e}$ , we prove a duality theorem between Poisson homology and cohomology of $A$ .

math.RA2014

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 $A$ , we const…

math.RA2014★ 2 cited

Universal enveloping algebras of Poisson Hopf algebras

Jiafeng Lü, Xingting Wang, Guangbin Zhuang

For a Poisson algebra $A$ , by exploring its relation with Lie-Rinehart algebras, we prove a Poincaré-Birkoff-Witt theorem for its universal enveloping algebra $A^{e}$ . Some general p…

math.RA2010★ 2 cited

Existence of Hopf subalgebras of GK-dimension two

Guangbin Zhuang

Let $H$ be a pointed Hopf algebra over an algebraically closed field of characteristic zero. If $H$ is a domain with finite Gelfand-Kirillov dimension greater than or equal to two,…