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Superintegrable systems in curved spaces via coalgebras and deformed Racah algebras

Jimenez-Swain, Samuel et al.
arXiv (All) · Papers
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mathematical-physics
We determine the Poisson algebras generated by partial Casimirs of undeformed and non-standard $q$-deformed $\mathfrak{sl}(2)$ coalgebras, respectively. The derivation is performed on the abstract algebraic level and does not depend on any particular symplectic realization. For the 3- and 4-site cas
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