The study which fonns the second volume of this series deals with the
interplay of groups and composite particle theory in nuclei. Three main
branches of ideas are de- veloped and linked with composite particle
theory: the pennutational structure of the nuclear fermion system, the
classification scheme based on the orbital partition and the associated
supennuitiplets, and the representation in state space of geometric
trans- fonnations in classical phase space. One of the authors (p. K.)
had the opportunity to present some of the ideas under- lying this work
at the 15th Solvay Conference on Symmetry Properties of Nuclei in 1970.
Since this time, the authors continued their joint effort to decipher
the conceptual struc- ture of composite particle theory in tenns of
groups and their representations. The pattern of connections is fully
developed in the present study. The applications are carried to the
points where the impact of group theory may be recognized. The range of
applications in our opinion goes far beyond these points.