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Representations and characters of groups /
This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis i...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York, NY :
Cambridge University Press,
2001.
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| Edición: | 2nd ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Groups and homomorphisms
- Vector spaces and linear transformations
- Group representations
- FG-modules
- FG-submodules and reducibility
- Group algebras
- FG-homomorphisms
- Maschke's Theorem
- Schur's Lemma
- Irreducible modules and the group algebra
- More on the group algebra
- Conjugacy classes
- Characters
- Inner products of characters
- The number of irreducible characters
- Character tables and orthogonality relations
- Normal subgroups and lifted characters
- Some elementary character tables
- Tensor products
- Restriction to a subgroup
- Induced modules and characters
- Algebraic integers
- Real representations
- Summary of properties of character tables
- Characters of groups of order pq
- Characters of some p-groups
- Character table of the simple group of order 168
- Character table of GL(2, q)
- Permutations and characters
- Applications to group theory
- Burnside's Theorem
- An application of representation theory to molecular vibration.