enveloping space
1.In the nonlinear symmetries of quantum systems, explicit expressions were obtained for the indecomposable representation of the nonlinear angular momentum algebra I Ω on the space of its universal enveloping algebra and for two induced representations on the corresponding quotient spaces using Poincaré Birkhoff Witt theory. These expressions were used to derive the inhomogeneous single , double and triple Boson realizations of I Ω.
