Linear Representations of Finite Groups
(Sprache: Englisch)
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...
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Klappentext zu „Linear Representations of Finite Groups “
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.
Inhaltsverzeichnis zu „Linear Representations of Finite Groups “
- 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 question
... Rationality questions: examples
- Introduction to Brauer Theory:
... The groups RK(G), Rk(G), and Pk((G)
... The cde triangle
... Theorems
... Proofs
... Modular characters
... Application to Artin representations
Autoren-Porträt von Jean-Pierre Serre
Professor Jean-Pierre Serre ist ein renommierter französischer Mathematiker am College de France in Paris.
Bibliographische Angaben
- Autor: Jean-Pierre Serre
- 1996, 2nd ed. repr., 172 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Herausgegeben: Leonhard L. Scott
- Übersetzer: Leonhard L. Scott
- Verlag: Springer, New York
- ISBN-10: 0387901906
- ISBN-13: 9780387901909
- Erscheinungsdatum: 30.10.1996
Sprache:
Englisch
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