Group theoretical methods and applications to molecules and crystals

Abstract

Preface List of symbols 1. Linear transformations 2. Theory of matrix transformations 3. Elements of abstract group theory 4. Unitary and orthogonal groups 5. The point groups of finite order 6. Theory of group representations 7. Construction of symmetry adapted linear combinations based on the correspondence theorem 8. Subduced and induced representations 9. Elements of continuous groups 10. The representations of the rotation group 11. Single- and double-valued representations of point groups 12. Projective representations 13. 230 space groups 14. The representations of space groups 15. The unirreps of the space groups to energy bands and vibrational modes of crystals 16. Time reversal, antiunitary point groups and their core presentations 17. Antiunitary space groups and their core presentations Appendix. Character tables for the crystal point groups References.