Poisson valuations
Hongdi Huang, Xin Tang, Xingting Wang, and James J. Zhang
TL;DR
This paper explores Poisson valuations and demonstrates their applications in analyzing the structure and symmetries of Poisson algebras and fields, including rigidity and automorphism problems.
Contribution
It introduces new methods for applying Poisson valuations to solve problems in algebraic structure and symmetry analysis.
Findings
Poisson valuations help determine rigidity of Poisson algebras
They facilitate understanding automorphisms and isomorphisms
Applications include solving embedding problems
Abstract
We study Poisson valuations and provide their applications in solving problems related to rigidity, automorphisms, Dixmier property, isomorphisms, and embeddings of Poisson algebras and fields.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models