69 research outputs found
Open problems, questions, and challenges in finite-dimensional integrable systems
The paper surveys open problems and questions related to different aspects
of integrable systems with finitely many degrees of freedom. Many of the open
problems were suggested by the participants of the conference “Finite-dimensional
Integrable Systems, FDIS 2017” held at CRM, Barcelona in July 2017.Postprint (updated version
Jordan-Kronecker invariants of finite-dimensional Lie algebras
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
Jordan-Kronecker invariants of finite-dimensional Lie algebras
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
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