Irreducible representations of the symmetry groups of polymer molecules. II

Abstract

For pt.I see ibid., vol.11, p.2133-47 (1978). The line groups are the symmetry groups of stereoregular polymer molecules. For quantum-mechanical applications one needs their unitary irreducible representations (reps). All reps of the line groups whose isogonal point groups are D_nd and D_nh(n=1, 2, 3,...) are constructed. These reps are derived (directly or by induction) from those of the corresponding invariant subgroups of index two, which are the line groups with isogonal point groups C_nv.