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Linear representations of finite groups

Author: Jean-Pierre Serre
Publisher: New York : Springer-Verlag, 1993.
Series: Graduate texts in mathematics, 42.
Edition/Format:   Print book : English : Corr. 4th printView all editions and formats
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This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. The second part is a course given in 1966 to second-year students  Read more...

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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: 29617400
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 Read more...

 
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