Integrable Systems Related to Deformed so(5)

Symmetry Integrability and Geometry-Methods and Applications

article

Alina Dobrogowska¹  Anatol Odzijewicz¹ 

[1] Institute of Mathematics, University of Białystok

关键词: integrable Hamiltonian systems;    Casimir functions;    Lie algebra deformation;    symplectic dual pair;    momentum map;   

DOI  :  10.3842/SIGMA.2014.056

来源: National Academy of Science of Ukraine

【 摘 要 】

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 of $\mathfrak{so}(5)$. We integrate corresponding Hamiltonian equations on $\mathcal{L}_+(5)$ and $T^*\mathbb{R}^5$ by quadratures as well as discuss their possible physical interpretation.

【 授权许可】

Unknown