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"Serre’s book gives a fine introduction to representations for various audiences . . . As always with Serre, the exposition is clear and elegant, and the exercises contain a great deal of valuable information that is otherwise hard to find . . . it is highly recommended for specialists and nonspecialists alike." (Bulletin Of The American Mathematical Society)
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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. 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.
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- VerlagSpringer
- Erscheinungsdatum2012
- ISBN 10 1468494600
- ISBN 13 9781468494600
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten184
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Linear Representations of Finite Groups
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Soft cover. Zustand: New. Zustand des Schutzumschlags: New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Bestandsnummer des Verkäufers ABE-13405580119
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Linear Representations of Finite Groups
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Trade paperback. Zustand: New in new dust jacket. First edition. INTERNATIONAL EDITION. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Trade paperback (US). Glued binding. 172 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 42. Audience: General/trade. Bestandsnummer des Verkäufers K572B0000781
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Linear Representations of Finite Groups (Graduate Texts in Mathematics, 42)
ISBN 10: 1468494600
ISBN 13: 9781468494600
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Linear Representations of Finite Groups (Graduate Texts in Mathematics, 42)
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Linear Representations of Finite Groups
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Linear Representations of Finite Groups
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 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. 184 pp. Englisch. Bestandsnummer des Verkäufers 9781468494600
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Linear Representations of Finite Groups (Graduate Texts in Mathematics)
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Linear Representations of Finite Groups (Graduate Texts in Mathematics)
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Linear Representations of Finite Groups
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Springer-Verlag New York Inc., 2012
ISBN 10: 1468494600
ISBN 13: 9781468494600
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Linear Representations of Finite Groups
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Springer US, Springer New York, 2012
ISBN 10: 1468494600
ISBN 13: 9781468494600
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 charac ters. This is a fundamental result, of constant use in mathematics as well as in quantum chemistry or physics. I have tried to give proofs as elementary as possible, using only the definition of a group and the rudiments of linear algebra. The examples (Chapter 5) have been chosen from those useful to chemists. The second part is a course given in 1966 to second-year students of I'Ecoie Normale. It completes the first on the following points: (a) degrees of representations and integrality properties of characters (Chapter 6); (b) induced representations, theorems of Artin and Brauer, and applications (Chapters 7-11); (c) rationality questions (Chapters 12 and 13). The methods used are those of linear algebra (in a wider sense than in the first part): group algebras, modules, noncommutative tensor products, semisimple algebras. The third part is an introduction to Brauer theory: passage from characteristic 0 to characteristic p (and conversely). I have freely used the language of abelian categories (projective modules, Grothendieck groups), which is well suited to this sort of question. The principal results are: (a) The fact that the decomposition homomorphism is surjective: all irreducible representations in characteristic p can be lifted 'virtually' (i.e., in a suitable Grothendieck group) to characteristic O. Bestandsnummer des Verkäufers 9781468494600
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