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Linear Representations of Finite Groups Leonhard L. Scott

Linear Representations of Finite Groups By Leonhard L. Scott

Linear Representations of Finite Groups by Leonhard L. Scott


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Summary

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 of l'Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory.

Linear Representations of Finite Groups Summary

Linear Representations of Finite Groups by Leonhard L. Scott

This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. The second part is a course given in 1966 to second-year students of l'Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory.

Linear Representations of Finite Groups Reviews

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)

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.

Additional information

NLS9781468494600
9781468494600
1468494600
Linear Representations of Finite Groups by Leonhard L. Scott
New
Paperback
Springer-Verlag New York Inc.
2012-07-11
172
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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