Abstract
Details the full subalgebra lattice of U(16), the algebra encountered in the bosonic quantisation of asymmetric shapes described by lambda P=0+, 1-, 2+ and 3- multipoles. All subalgebras that can be generated from tensors built from 0+, 1-, 2+ and 3- bosons and that have the proper O(3) content are identified from elementary representation theory. Of the 165 dynamical symmetry limits, the author presents seven dynamical symmetry limits and suggest that they reflect the relevant symmetries of this model.
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