Abstract
We consider some recent results about the Poisson structures, arising on the co-algebra of a given Lie algebra when we have on it a structure of a bundle of Lie algebras. These tensors have applications in the study of the Hamiltonian structures of various integrable nonlinear models, among them the O(3)-chiral fields system and Landau–Lifshitz equation
Information
Published: 1 January 2006
First available in Project Euclid: 14 July 2015
zbMATH: 1115.53058
MathSciNet: MR2228381
Digital Object Identifier: 10.7546/giq-7-2006-307-319
Rights: Copyright © 2006 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences