Integrable Systems Related to Deformed so(5)

Abstract

We investigate a family of integrable Hamiltonian systems on Lie-Poisson spaces L+(5) dual to Lie algebras soλ,α(5) being two-parameter deformations of so(5). We integrate corresponding Hamiltonian equations on L+(5) and T∗R⁵ by quadratures as well as discuss their possible physical interpretation.