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abelian action of G adjoint representation analytic functions angular momentum applications associated classical coherent commutation relations complex parameters compute conserved quantity consider coordinates coset space coshB defined dequantization derivatives du(z dynamics eigenvalues energy equations of motion expectation values expressions g g+ GauB decomposition Gc/G geometry given group SU(2 group U(M hence hermitian highest weight Hilbert space intersection introduce inverse irreducible representation irreducible representation spaces Lagrangian Lie algebra Lie group Lie group G Lipkin model manifold Moyal bracket Nucl Nuclear obtained operators orbits of type overlap phase and normalization phase space Phys Physics Poisson bracket Proceedings Proof properties quantum mechanics real compact reference point restriction Schrodinger equation sinhB Slater determinant space of analytic stability group SU(n subgroup symplectic form symplectic structure Systems TDHF TDVP tensor time-dependent variational principle trajectories unimodular wave function Weyl group yields