Hongdi Huang

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20232026

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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 $n$ -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 $A := k [x, y, z]$ 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…