Includes bibliographical references (pages 549-552) and index

Basic mathematical background : introduction -- representation theory and basic theorems -- Character of a representation -- Basic functions -- Splitting of atomic orbitals in a crystal potential -- Application to selection rules and direct products -- Electronic states of molecules and directed valence -- Molecular vibrations, infrared, and Raman activity -- Space groups in periodic lattices -- Space groups in reciprocal space and representations -- Applications to lattice vibrations -- Electronic energy levels in a cubic crystals --Energy band models based on symmetry -- Spin-orbit interaction in solids and double groups -- Applications of double groups to energy bands with spin -- Time reversal symmetry -- Permutation groups and many-electron states -- Symmetry properties of tensors