4. Finite subgroups of SO(3) and crystallographic groups

Chapters in this book

1. Frontmatter I
2. Preface VII
3. Acknowledgement XI
4. Contents XIII
5. Some remarks about notation XXI
6. 1. Fundamental notions of algebra 1
7. 2. Groups: a bestiary for beginners 17
8. 3. Basic elements of finite group theory 35
9. 4. Finite subgroups of SO(3) and crystallographic groups 69
10. 5. Manifolds and Lie groups 103
11. 6. Structure of Lie algebras 151
12. 7. Root systems and their classification 181
13. 8. Lie algebra representation theory 211
14. 9. Exceptional Lie algebras 247
15. 10. A primary on the theory of connections and metrics 285
16. 11. Isometries and the geometry of coset manifolds 323
17. 12. An anthology of group theory physical applications 351
18. A. Exercises 399
19. B. MATHEMATICA NoteBooks 441
20. Bibliography 469