Abstract
We investigate the possible Lie-algebraic structure(s) that can be imposed on the generatorsJ i of a Lie algebra combined with those of the formJ i J m . We show that for low-dimensional Lie algebras of physical interest such asO(3),O(3,1) andE(2) this program can be carried out successfully. Physically such a construction is of interest in the treatment of nonlinear Hamiltonians and the classification of their states.
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