Linear Representations of Finite Groups

Name: Linear Representations of Finite Groups
Price: 32.9 USD
Availability: InStock
ISBN: 9780387901909

ISBN-10: 0387901906

ISBN-13: 9780387901909

Edition: 4th 1977

Authors: Jean-Pierre Serre, Leonhard L. Scott

List price: $74.95

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Description:

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. This is a fundamental result of constant use in mathematics as well as in quantum chemistry or physics. The examples in this part are chosen from those useful to 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. Several Applications to the Artin representation are given.

Book details

List price: $74.95
Edition: 4th
Copyright year: 1977
Publisher: Springer New York
Publication date: 9/1/1977
Binding: Hardcover
Pages: 172
Size: 6.14" wide x 9.21" long x 0.26" tall
Weight: 1.232
Language: English




Representations and Characters



Generalities on Linear Representation



Character Theory



Subgroups, products, induced representations



Compact Groups



Examples






Representation 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



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


Appendix


Bibliography part III


Index of Notation


Index of Terminology