Linear representations of finite groups (Book, 1982) []
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Linear representations of finite groups

Linear representations of finite groups

Author: Jean Pierre Serre
Publisher: New York : Springer-Verlag, 1982, ©1977.
Series: Graduate texts in mathematics, 42.
Edition/Format:   Print book : English : Corr. 2nd printView all editions and formats

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: 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 Read more...

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