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Integrable Systems Related to Deformed $\mathfrak{so}(5)$
Symmetry, integrability and geometry: methods and applications, Tome 10 (2014) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Alina Dobrogowska and Anatol Odzijewicz},
     title = {Integrable {Systems} {Related} to {Deformed} $\mathfrak{so}(5)$},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a55/}
}
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Alina Dobrogowska; Anatol Odzijewicz. Integrable Systems Related to Deformed $\mathfrak{so}(5)$. Symmetry, integrability and geometry: methods and applications, Tome 10 (2014). http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a55/

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