Linear representations of finite groups

著者

• Serre, Jean Pierre
• Scott, L. L. (Leonard L.)

書誌事項

Linear representations of finite groups

Jean-Pierre Serre ; translated from the French by Leonard L. Scott

（Graduate texts in mathematics, 42）

Springer-Verlag, c1977

• : us
• : gw

タイトル別名

Représentations linéaires des groupes finis

注記

Translation of Représentations linéaires des groupes finis, 2. éd. Originally published as Représentations linéaires des groupes finis: Paris : Hermann, 1971

Includes bibliographies and indexes

内容説明・目次

巻冊次

: us ISBN 9780387901909

内容説明

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.

目次

• 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.

巻冊次

: gw ISBN 9783540901907

内容説明

This volume of research papers has been divided into three sections covering: representations and characters; representations in characteristic zero; and an introduction to Brauer theory.

目次

• Representations and characters: generalities on linear representations
• character theory
• subgroups, products, induced representation
• compact groups
• examples. Representations in characteristic zero: the group algebra
• induced representations
• Mackey's criterion
• examples of induced representations
• Artin's theorem
• a theorem of Brauer
• applications of Brauer's theorem
• rationality questions - examples. Introduction to Brauer theory: the groups RK(G), RX(G) and PK(G)
• the cde triangle
• theorems
• proofs
• modular characters
• application to Artin representations.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA04200912
• ISBN:
  • 0387901906
  • 3540901906
• LCCN: 76012585
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: fre
• 出版地: New York ; Berlin
• ページ数/冊数: x, 170 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA171
  • DC : 512/.2
• 件名:
  • LCSH : Representations of groups
  • LCSH : Finite groups
• 親書誌ID:
  • BA00010074