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Bi-Hamiltonian systems and Jordan-Kronecker invariants of finite-dimensional Lie algebras
conference contributionposted on 2015-06-16, 09:23 authored by Alexey BolsinovAlexey Bolsinov
For any finite-dimensional Lie algebra we introduce the notion of Jordan-Kronecker invariants and discuss their properties and examples. These invariants naturally appear in the framework of the bi-Hamiltonian approach to integrable systems on Lie algebras and are closely related to Mischenko-Fomenko's argument shift method.
- Mathematical Sciences
Published in``2nd Conference on Finite Dimensional Integrable Systems'' FDIS13
CitationBOLSINOV, A.V., 2013. Bi-Hamiltonian systems and Jordan-Kronecker invariants of finite-dimensional Lie algebras. 2nd Conference on Finite Dimensional Integrable Systems - FDIS13, CIRM, Marseille, France, 15th - 19th July 2013
- AM (Accepted Manuscript)
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
NotesThis is a conference presentation.
LocationCIRM, Marseille, France