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Article

Algebra of Symmetries of Three-Frequency Hyperbolic Resonance

Mathematical notes. 2019. Vol. 106. No. 6. P. 940-956.

The algebra of symmetries of the quantum three-frequency hyperbolic resonance oscillator is studied. It is shown that this algebra is determined by a nite set of generators with polynomial commutation relations. The irreducible representations of this algebra and the corresponding coherent states are constructed.