Showing 2023Show all
3 papers · 1 filter
math.RA2023
Valuation method for Nambu-Poisson algebras
Hongdi Huang, Xin Tang, Xingting Wang +1
Automorphism, isomorphism, and embedding problems are investigated for a family of Nambu-Poisson algebras (or -Lie Poisson algebras) using Poisson valuations.
math.RA2023
Weighted Poisson polynomial rings in dimension three
Hongdi Huang, Xin Tang, Xingting Wang +1
We discuss Poisson structures on a weighted polynomial algebra defined by a homogeneous element , 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…