عنوان

Representation theory of finite groups :

(Number (ISBN

0821832220

(Number (ISBN

9780821832226

Number

b428219

Title Proper

Representation theory of finite groups :

General Material Designation

[Book]

Other Title Information

algebra and arithmetic /

First Statement of Responsibility

Steven H. Weintraub.

Place of Publication, Distribution, etc.

Providence, R.I. :

Name of Publisher, Distributor, etc.

American Mathematical Society,

Date of Publication, Distribution, etc.

©2003.

Specific Material Designation and Extent of Item

ix, 212 pages ;

Dimensions

26 cm.

Series Title

Graduate studies in mathematics,

Volume Designation

v. 59

ISSN of Series

1065-7339 ;

Text of Note

Includes bibliographical references (page 209) and index.

Text of Note

Ch. 1. Introduction -- Ch. 2. Semisimple Rings and Modules -- 2.1. Basic Notions -- 2.2. Structure Theorems -- 2.3. Idempotents and Blocks -- 2.4. Behavior under Field Extensions -- 2.5. Theorems of Burnside and Frobenius-Schur -- Ch. 3. Semisimple Group Representations -- 3.1. Examples and General Results -- 3.2. Representations of Abelian Groups -- 3.3. Decomposition of the Regular Representation -- 3.4. Applications of Frobenius's Theorem -- 3.5. Characters -- 3.6. Idempotents and their Uses -- 3.7. Subfields of the Complex Numbers -- 3.8. Fields of Positive Characteristic -- Ch. 4. Induced Representations and Applications -- 4.1. Induced Representations -- 4.2. Mackey's Theorem -- 4.3. Permutation Representations -- 4.4. M-groups -- 4.5. Theorems of Artin and Brauer -- 4.6. Degrees of Irreducible Representations -- Ch. 5. Introduction to Modular Representations -- Ch. 6. General Rings and Modules -- 6.1. Jordan-Holder and Krull-Schmidt Theorems -- 6.2. The Jacobson Radical -- 6.3. Rings of Finite Length -- 6.4. Finite-dimensional Algebras -- Ch. 7. Modular Group Representations -- 7.1. General Results -- 7.2. Characters and Brauer Characters -- 7.3. Examples -- App. Some Useful Results.

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Text of Note

"The book assumes only the material of a standard graduate course in algebra. It is suitable as a text for a year-long graduate course. The subject is of interest to students of algebra, number theory and algebraic geometry. The systematic treatment presented here makes the book also valuable as a reference."--Jacket.

Finite groups.

Representations of groups.

Class number

Book number

Weintraub, Steven H.

Date of Transaction

20180505104146.0

Electronic name

[Book]

Y