The Higgs algebra (i.e., the hidden symmetry algebra of the Coulomb problem in the two-dimensional space of constant curvature) is investigated. Consisting of 3 generators, the Higgs algebra can be considered as a second-order approximation to SU q (2). ‘Classical’ and ‘nonclassical’ representations and realizations of the Higgs algebra are found.Connections with other Lie and quadratic algebras are discussed.
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Alexei Zhedanov (1992) studied this question.
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