Open Access
VOL. 7 | 2006 Compatible Poisson Tensors Related to Bundles of Lie Algebras
Chapter Author(s) Alexander B. Yanovski
Editor(s) Ivaïlo M. Mladenov, Manuel de León
Geom. Integrability & Quantization, 2006: 307-319 (2006) DOI: 10.7546/giq-7-2006-307-319

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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