On classification of Poisson vertex algebras

Abstract

We describe a conjectural classification of Poisson vertex algebras of CFT type and of Poisson vertex algebras in one differential variable (= scalar Hamiltonian operators).

Cited by in corpus (6)

• Geometry of jet spaces and integrable systems
• The variational Poisson cohomology
• Non-local Poisson structures and applications to the theory of integrable systems
• Essential variational Poisson cohomology
• MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine $\mathcal{W}$-algebras
• The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations