Title Integrable Hamiltonian Systems on non-semisimple Lie algebra Type of Research Presentation Keywords integrable Hamiltonian systems, maximal isotropic subspace, commutative ideal, Heisenberg algebra ηm Abstract The Mishchenko-Fomenko conjecture says that for each real or complex finitedimensional Lie algebra g there exists a complete set of commuting polynomial on its dual space g . In terms of the theory of integrable Hamiltonian systems this means that the dual space g endowed with the standard Lie-Poisson bracket admits polynomial integrable Hamiltonian systems. Researchers Ghorbanali Haghighatdoost Bonab (First Researcher)، Hasan Amirzadeh (Second Researcher)