Jordan-Kronecker invariants of finite-dimensional Lie algebras

Bolsinov, Alexey V.; Zhang, Pumei

Jordan-Kronecker invariants of finite-dimensional Lie algebras

journal contribution

posted on 2015-06-16, 14:17 authored by Alexey V. Bolsinov, Pumei Zhang

For any finite-dimensional Lie algebra we introduce the notion of Jordan-Kronecker invariants, study their properties and discuss 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

Citation

BOLSINOV, A.V. and ZHANG, P., 2012. Jordan-Kronecker invariants of finite-dimensional Lie algebras. ArXiv, ID: 1211.0579

Version

SMUR (Submitted Manuscript Under Review)

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/