Integrable Systems Related to Deformed $\mathfrak{so}(5)$

Alina Dobrogowska, Anatol Odzijewicz

We investigate a family of integrable Hamiltonian systems on Lie-Poisson spaces ${\mathcal{L}}_{+}(5)$ dual to Lie algebras ${\mathfrak{so}}_{\lambda ,\alpha }(5)$ being two-parameter deformations o…