Cargando…
Representations and Characters of Groups.
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 mathemat...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2001.
|
| Edición: | 2nd ed. |
| Colección: | Cambridge mathematical textbooks.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Title; Copyright; Contents; Preface; 1 Groups and homomorphisms; 2 Vector spaces and linear transformations; 3 Group representations; 4 FG-modules; 5 FG-submodules and reducibility; 6 Group algebras; 7 FG-homomorphisms; 8 Maschke'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 products20 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; Solutions to exercises; Bibliography; Index.