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This article is cited in 5 scientific papers (total in 5 papers)
Integrable Systems Related to Deformed $\mathfrak{so}(5)$
Alina Dobrogowska, Anatol Odzijewicz Institute of Mathematics, University of Białystok, Lipowa 41, 15-424 Białystok, Poland
Abstract:
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.
Keywords:
integrable Hamiltonian systems; Casimir functions; Lie algebra deformation; symplectic dual pair; momentum map.
Received: November 5, 2013; in final form May 26, 2014; Published online June 3, 2014
Citation:
Alina Dobrogowska, Anatol Odzijewicz, “Integrable Systems Related to Deformed $\mathfrak{so}(5)$”, SIGMA, 10 (2014), 056, 18 pp.
Linking options:
https://www.mathnet.ru/eng/sigma921 https://www.mathnet.ru/eng/sigma/v10/p56
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Abstract page: | 162 | Full-text PDF : | 35 | References: | 46 |
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