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VOL. 7 | 2006 Compatible Poisson Tensors Related to Bundles of Lie Algebras
Alexander B. Yanovski

Editor(s) Ivaïlo M. Mladenov, Manuel de León

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

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