Integrable Systems Related to Deformed so(5)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Dobrogowska, A., Odzijewicz, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146683
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Integrable Systems Related to Deformed so(5) / A. Dobrogowska, A. Odzijewicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 21 назв. — англ.

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....