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
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.