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Bi-Hamiltonian systems and Jordan-Kronecker invariants of finite-dimensional Lie algebras

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conference contribution
posted on 16.06.2015, 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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

``2nd Conference on Finite Dimensional Integrable Systems'' FDIS13

Citation

BOLSINOV, 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

Version

AM (Accepted Manuscript)

Publisher statement

This 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/

Publication date

2013

Notes

This is a conference presentation.

Language

en

Location

CIRM, Marseille, France

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