On the central extensions of Poisson brackets of hydrodynamic type

DOI10.1088/0305-4470/36/9/305zbMath1115.17002OpenAlexW1979428008MaRDI QIDQ4466196

Cheng-Ming Bai, Hong-Biao Zhang, Dao Ji Meng

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/36/9/305

zbMATH Keywords

Novikov algebrascentral extension of Poisson brackets

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Poisson algebras (17B63) Nonassociative algebras satisfying other identities (17A30)

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