Hongdi Huang

collaborators

2 papers

math.RA2023

Weighted Poisson polynomial rings

Hongdi Huang, Xin Tang, Xingting Wang +1

We discuss Poisson structures on a weighted polynomial algebra $A := k [x, y, z]$ defined by a homogeneous element $Ω \in A$ , called a potential. We start with classifying potentia…

math.RA2023

Poisson valuations

Hongdi Huang, Xin Tang, Xingting Wang +1

We study Poisson valuations and provide their applications in solving problems related to rigidity, automorphisms, Dixmier property, isomorphisms, and embeddings of Poisson algebra…