Transformation Groups

December 2010, Volume 15, Issue 4, pp 883–907 | Cite as

On classification of poisson vertex algebras

• Authors
• Authors and affiliations

• Alberto De Sole
• Victor G. Kac
• Minoru Wakimoto

Article

First Online: 06 August 2010

• 89 Downloads
• 9 Citations

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).

Keywords

Jacobi Identity Hamiltonian Operator Conformal Weight Integrable Hierarchy Compatible Pair 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

• Alberto De Sole
  • 1
  Email author
• Victor G. Kac
  • 2
• Minoru Wakimoto
  • 1
  • 2

1. 1.Dipartimento di MatematicaUniversità di Roma “La Sapienza”RomaItaly
2. 2.Department of MathematicsMITCambridgeUSA