Multiplicity diagrams can be viewed as schemes for describing the phenomenon of 'symmetry breaking' in quantum physics. The authors take a novel approach, using the techniques of symplectic geometry, to the subject of multiplicity diagrams associated with the classical groups U(n), O(n), etc.
Symplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. From a different approach, this subject is of interest to both mathematicians and physicists.
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