Local Representation Theory : Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
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Language: English
Published by Cambridge University Press, 2003
Series: Book 8 of 151 - Cambridge Studies in Advanced Mathematics
- Softcover
- Used
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Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Representation theory has applications to number theory, combinatorics and many areas of algebra. The aim of this text is to present some of the key results in the representation theory of finite groups. Professor Alperin concentrates on local representation theory, emphasizing module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. Exercises are provided at the end of most sections; the results of some are used later in the text.
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- Title
- Local Representation Theory : Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
- Author
- J. L. Alperin, Alperin J. L.
- Publisher
- Cambridge University Press
- Publication year
- 2003
- Condition
- Sehr gut
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 052144926X
- ISBN 13
- 9780521449267
- Series
- Book 8 of 151: Cambridge Studies in Advanced Mathematics
- Seller catalogs
- Bücher
Representation theory has applications to number theory, combinatorics and many areas of algebra. The aim of this text is to present some of the key results in the representation theory of finite groups. Professor Alperin concentrates on local representation theory, emphasizing module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. Exercises are provided at the end of most sections; the results of some are used later in the text.
"Synopsis" may belong to another edition of this title.
Book Description
Representation theory has applications to number theory, combinatorics and many areas of algebra. The aim of this text is to present some of the key results in the representation theory of finite groups by concentrating on local representation theory, and emphasizing module theory throughout.
"About the title" may belong to another edition of this title.
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| Item | 60 to 60 business days | 60 to 60 business days |
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| First item | US$ 121.95 | US$ 150.98 |
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