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

研究成果: Article

1 引用 (Scopus)

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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 algebra g is inherited to the algebra of vector fields on g* through the solution of the Modified Classical Yang-Baxter equation (Classical r matrix). We study the algebra that generates the compatible Poisson brackets.

元の言語English
ページ(範囲)757-777
ページ数21
ジャーナルCommunications in Mathematical Physics
180
発行部数3
DOI
出版物ステータスPublished - 1996 1 1
外部発表Yes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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