This is the second edition of the popular textbook on representation theory of finite groups. Featuring a wealth of exercises with solutions, this will be suitable for a course in representation theory. The applications of the subject will add interest for chemists and physicists as well as mathematicians.
This is the second edition of the popular textbook on representation theory of finite groups. Featuring a wealth of exercises with solutions, this will be suitable for a course in representation theory. The applications of the subject will add interest for chemists and physicists as well as mathematicians.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
1. Groups and homomorphisms 2. Vector spaces and linear transformations 3. Group representations 4. FG-modules 5. FG-submodules 6. Group algebras 7. FG-homomorphisms 8. Mashcke's theorem 9. Schur's lemma 10. Irreducible modules and the group algebra 11. More on the group algebra 12. Conjugacy classes 13. Characters 14. Inner products of characters 15. The number of irreducible characters 16. Character tables and orthogonality relations 17. Normal subgroups and lifted characters 18. Some elementary character tables 19. Tensor products 20. Restriction to a subgroup 21. Induced modules and characters 22. Algebraic integers 23. Real representations 24. Summary of properties of character tables 25. Characters of groups of order pq 26. Characters of some p-groups 27. Character table of the simple group of order 168 28. Character table of GL(2,q) 29. Permutations and characters 30. Applications to group theory 31. Burnside's theorem 32. An application of representation theory to molecular vibration.
1. Groups and homomorphisms 2. Vector spaces and linear transformations 3. Group representations 4. FG-modules 5. FG-submodules 6. Group algebras 7. FG-homomorphisms 8. Mashcke's theorem 9. Schur's lemma 10. Irreducible modules and the group algebra 11. More on the group algebra 12. Conjugacy classes 13. Characters 14. Inner products of characters 15. The number of irreducible characters 16. Character tables and orthogonality relations 17. Normal subgroups and lifted characters 18. Some elementary character tables 19. Tensor products 20. Restriction to a subgroup 21. Induced modules and characters 22. Algebraic integers 23. Real representations 24. Summary of properties of character tables 25. Characters of groups of order pq 26. Characters of some p-groups 27. Character table of the simple group of order 168 28. Character table of GL(2,q) 29. Permutations and characters 30. Applications to group theory 31. Burnside's theorem 32. An application of representation theory to molecular vibration.
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