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Communications in Mathematical Physics

, Volume 180, Issue 3, pp 757–777 | Cite as

The higher order Hamiltonian structures for the modified classical Yang-Baxter equation

  • Kaoru Ikeda
Article

Abstract

We consider constructing the higher order Hamiltonian structures on the dual of the Lie algebra from the first Hamiltonian structure of the coadjoint orbit method. For this purpose we show that the structure of the Lie algebrag is inherited to the algebra of vector fields ong* through the solution of the Modified Classical Yang-Baxter equation (Classicalr matrix). We study the algebra that generates the compatible Poisson brackets.

Keywords

Neural Network Statistical Physic Complex System Vector Field Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Kaoru Ikeda
    • 1
  1. 1.Otaru University of CommerceHokkaidoJapan

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