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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (Cambridge Studies in Advanced Mathematics, Series Number 11) - Softcover
Synopsis
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.
Review
"...a beautifully written book. Anyone wishing to learn the fundamental facts of Brauer's theory of blocks cannot do better than to begin his [or her] study with this text." Bulletin of The London Mathematical Society
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1993
- ISBN 10 052144926X
- ISBN 13 9780521449267
- BindingPaperback
- LanguageEnglish
- Number of pages192
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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (Cambridge Studies in Advanced Mathematics, Band 11)
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Cambridge University Press, 1993
ISBN 10: 052144926X
ISBN 13: 9780521449267
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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (Cambridge Studies in Advanced Mathematics, Series Number 11)
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Cambridge University Press, 1993
ISBN 10: 052144926X
ISBN 13: 9780521449267
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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (Cambridge Studies in Advanced Mathematics, Series Number 11)
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Cambridge University Press, 1993
ISBN 10: 052144926X
ISBN 13: 9780521449267
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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (Paperback)
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Cambridge University Press, Cambridge, 2003
ISBN 10: 052144926X
ISBN 13: 9780521449267
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521449267
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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
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ISBN 13: 9780521449267
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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (Cambridge Studies in Advanced Mathematics)
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Local Representation Theory
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ISBN 13: 9780521449267
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Local Representation Theory : Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
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Cambridge University Press, 2003
ISBN 10: 052144926X
ISBN 13: 9780521449267
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Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. Außen: angestoßen. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 192 | Sprache: Englisch | Produktart: Sonstiges. Seller Inventory # 2769862/202
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Local Representation Theory
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Cambridge University Press, 1993
ISBN 10: 052144926X
ISBN 13: 9780521449267
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