Abstract
A unified method to construct the (multi-)boson realizations of the Lie and quantum algebras is proposed based on a universal deformation of boson (Heisenberg-Weyl) algebra and its multiboson realization. Some explicit examples, the Lie algebras sl(2) and su (1,1), q-boson algebra, quantum algebras and , along with the q-ladder algebra are studied in detail. In particular, the square boson realizations of su (1,l) and are naturally obtained as special cases.
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