Linear representations of finite groups /
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| Author / Creator: | Serre, Jean Pierre, 1926- |
|---|---|
| Uniform title: | Représentations linéaires des groupes finis. English |
| Imprint: | New York : Springer-Verlag, c1977. |
| Description: | x, 170 p. ; 24 cm. |
| Language: | English French |
| Series: | Graduate texts in mathematics 42 Graduate texts in mathematics. 42 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/181986 |
Table of Contents:
- Part I. Representations and Characters
- 1. Generalities on Linear Representation
- 2. Character Theory
- 3. Subgroups, products, induced representations
- 4. Compact Groups
- 5. Examples
- Bibliography Part I.
- Part II. Representation in Characteristic Zero
- 6. The Group Algebra
- 7. Induced Representations- Mackey's Criterion
- 8. Examples of Induced Representations
- 9. Artin's Theorem
- 10. A Theorem of Brauer
- 11. Applications of Brauer's Theorem
- 12. Rationality Questions
- 13. Rationality Questions: Examples
- Bibliography Part II.
- Part III. Introduction to Brauer Theory
- 14. The Groups Rk(G), Rk(G) and Pk(G)
- 15. The cde Triangle
- 16. Theorems
- 17. Proofs
- 18. Modular Characters
- 19. Application to Artin Representations
- Appendix
- Bibliography part III
- Index of Notation
- Index of Terminology