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Material Type: | Internet resource |
---|---|
Document Type: | Book, Internet Resource |
All Authors / Contributors: |
Jean Pierre Serre |
ISBN: | 0387901906 9780387901909 3540901906 9783540901907 |
OCLC Number: | 20910118 |
Notes: | Translation of the French ed.: Représentations linéaires des groupes finis. Paris : Hermann, 1971. |
Description: | x, 170 pages ; 24 cm. |
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. |
Series Title: | Graduate texts in mathematics, 42. |
Other Titles: | Représentations linéaires des groupes finis. |
Responsibility: | Jean-Pierre Serre ; translated from the French by Leonard L. Scott. |
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From the reviews:"Serre's book gives a fine introduction to representations for various audiences . . . As always with Serre, the exposition is clear and elegant, and the exercises contain a great deal of valuable information that is otherwise hard to find . . . it is highly recommended for specialists and nonspecialists alike." (Bulletin Of The American Mathematical Society) Read more...
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