Isbn Linear Representations of Finite Groups book English Hardcover 172 pages

Name: Isbn Linear Representations of Finite Groups book English Hardcover 172 pages
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SKU: 9780387901909
Price: 50.99 GBP
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ISBN Linear Representations of Finite Groups. Book cover type: Hardcover, Language version: English, Written by: Jean-Pierre Serre

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£50.99

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Price Alert

ISBN Linear Representations of Finite Groups. Book cover type: Hardcover, Language version: English, Written by: Jean-Pierre Serre

★ 4.9

£50.99

Best price from link.springer.com

Price Alert

ISBN Linear Representations of Finite Groups. Book cover type: Hardcover, Language version: English, Written by: Jean-Pierre Serre

★ 4.9

£50.99

Best price from link.springer.com

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Lowest price for a new Isbn Linear Representations of Finite Groups book English Hardcover 172 pages is £50.99. This is currently the cheapest offer among 1 stores.

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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 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.