Generalized Partial Dynamical Symmetry in Nuclei

We introduce the notion of a generalized partial dynamical-symmetry for which part of the eigenstates have part of the dynamical symmetry. This general concept is illustrated with the example of Hamiltonians with a partial dynamical [Formula presented] symmetry in the framework of the interacting boson model. The resulting spectrum and electromagnetic transitions are compared with empirical data in [Formula presented].