| Hardcover ISBN: | 978-0-8218-4066-5 |
| Product Code: | CHEL/356.H |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $89.10 |
| eBook ISBN: | 978-1-4704-3032-0 |
| Product Code: | CHEL/356.H.E |
| List Price: | $95.00 |
| MAA Member Price: | $85.50 |
| AMS Member Price: | $85.50 |
| Hardcover ISBN: | 978-0-8218-4066-5 |
| eBook: ISBN: | 978-1-4704-3032-0 |
| Product Code: | CHEL/356.H.B |
| List Price: | $194.00 $146.50 |
| MAA Member Price: | $174.60 $131.85 |
| AMS Member Price: | $174.60 $131.85 |
| Hardcover ISBN: | 978-0-8218-4066-5 |
| Product Code: | CHEL/356.H |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $89.10 |
| eBook ISBN: | 978-1-4704-3032-0 |
| Product Code: | CHEL/356.H.E |
| List Price: | $95.00 |
| MAA Member Price: | $85.50 |
| AMS Member Price: | $85.50 |
| Hardcover ISBN: | 978-0-8218-4066-5 |
| eBook ISBN: | 978-1-4704-3032-0 |
| Product Code: | CHEL/356.H.B |
| List Price: | $194.00 $146.50 |
| MAA Member Price: | $174.60 $131.85 |
| AMS Member Price: | $174.60 $131.85 |
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Book DetailsAMS Chelsea PublishingVolume: 356; 1962; 689 ppMSC: Primary 16; Secondary 11; 20
First published in 1962, this classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. One of its main advantages is that the authors went far beyond the standard elementary representation theory, including a masterly treatment of topics such as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations. These and many other subjects are treated extremely thoroughly, starting with basic definitions and results and proceeding to many important and crucial developments. Numerous examples and exercises help the reader of this unsurpassed book to master this important area of mathematics.
ReadershipGraduate students and research mathematicians working in algebra, especially in representation theory.
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Table of Contents
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Chapters
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Chapter 1. Background from group theory
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Chapter 2. Representations and modules
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Chapter 3. Algebraic number theory
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Chapter 4. Semi-simple rings and group algebras
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Chapter 5. Group characters
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Chapter 6. Induced characters
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Chapter 7. Induced representations
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Chapter 8. Non-semi-simple rings
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Chapter 9. Frobenius algebras
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Chapter 10. Splitting fields and separable algebras
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Chapter 11. Integral representations
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Chapter 12. Modular representations
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
First published in 1962, this classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. One of its main advantages is that the authors went far beyond the standard elementary representation theory, including a masterly treatment of topics such as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations. These and many other subjects are treated extremely thoroughly, starting with basic definitions and results and proceeding to many important and crucial developments. Numerous examples and exercises help the reader of this unsurpassed book to master this important area of mathematics.
Graduate students and research mathematicians working in algebra, especially in representation theory.
-
Chapters
-
Chapter 1. Background from group theory
-
Chapter 2. Representations and modules
-
Chapter 3. Algebraic number theory
-
Chapter 4. Semi-simple rings and group algebras
-
Chapter 5. Group characters
-
Chapter 6. Induced characters
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Chapter 7. Induced representations
-
Chapter 8. Non-semi-simple rings
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Chapter 9. Frobenius algebras
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Chapter 10. Splitting fields and separable algebras
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Chapter 11. Integral representations
-
Chapter 12. Modular representations
