Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
From the reviews:
"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)
Contenuti
Part I: Representations and Characters; 1. Generalities on Linear Representation; 2. Character Theory; 3. Subgroups, products, induced representations; 4. Compact Groups; 5. Examples; Bibliography Part I; Part II: Representation in Characteristic Zero; 6. The Group Algebra; 7. Induced Representations- Mackey's Criterion; 8. Examples of Induced Representations; 9. Artin's Theorem; 10. A Theorem of Brauer; 11. Applications of Brauer's Theorem; 12. Rationality Questions; 13. Rationality Questions: Examples; Bibliography Part II; Part III: Introduction to Brauer Theory; 14. The Groups Rk(G), Rk(G) and Pk(G); 15. The cde Triangle; 16. Theorems; 17. Proofs; 18. Modular Characters; 19. Application to Artin Representations; Appendix; Bibliography part III; Index of Notation; Index of Terminology.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Altre edizioni note dello stesso titolo
Risultati della ricerca per Linear Representations of Finite Groups: 42
Edizione Internazionale
Linear Representations of Finite Groups
Editore:
Secaucus, New Jersey, U.S.A.: Springer Verlag, 1977
ISBN 10: 0387901906
ISBN 13: 9780387901909
Nuovo
Soft cover
Da: Sizzler Texts, SAN GABRIEL, CA, U.S.A.
Valutazione del venditore 5 su 5 stelle
Soft cover. Condizione: New. Condizione sovraccoperta: New. 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. Great professional textbook selling experience and expedite shipping service. Codice articolo ABE-8054260889
Compra nuovo
EUR 22,42
Spedizione EUR 8,72
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: Più di 20 disponibili
Edizione Internazionale
Linear Representations of Finite Groups
Edizione InternazionaleDa: Aideo Books, San Marino, CA, U.S.A.
Valutazione del venditore 5 su 5 stelle
Soft cover. Condizione: New. Condizione sovraccoperta: New. 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. Text in French, English. Sewn binding. Cloth over boards. 172 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics Series, 42. Audience: General/trade. Codice articolo K5720000779
Compra nuovo
EUR 26,93
Spedizione EUR 4,32
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Linear Representations of Finite Groups (Graduate Texts in Mathematics, 42)
Da: Books From California, Simi Valley, CA, U.S.A.
Valutazione del venditore 4 su 5 stelle
hardcover. Condizione: Very Good. Codice articolo mon0004126115
Compra usato
EUR 48,79
Spedizione EUR 4,35
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Immagini fornite dal venditore
Linear Representations of Finite Groups
Da: GreatBookPrices, Columbia, MD, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 671286-n
Compra nuovo
EUR 62,03
Spedizione EUR 2,30
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
LINEAR REPRESENTATIONS OF FINITE GROUPS
Da: Basi6 International, Irving, TX, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Codice articolo ABEOCT25-389293
Compra nuovo
EUR 64,41
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Linear Representations of Finite Groups (Hardcover)
Editore:
Springer-Verlag New York Inc., New York, NY, 1977
ISBN 10: 0387901906
ISBN 13: 9780387901909
Nuovo
Rilegato
Prima edizione
Da: Grand Eagle Retail, Bensenville, IL, U.S.A.
Valutazione del venditore 5 su 5 stelle
Hardcover. Condizione: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780387901909
Compra nuovo
EUR 69,07
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Linear Representations of Finite Groups
Editore:
Springer-Verlag New York Inc., 1977
ISBN 10: 0387901906
ISBN 13: 9780387901909
Nuovo
Rilegato
Da: THE SAINT BOOKSTORE, Southport, Regno Unito
Valutazione del venditore 5 su 5 stelle
Hardback. Condizione: New. New copy - Usually dispatched within 4 working days. Codice articolo B9780387901909
Compra nuovo
EUR 54,03
Spedizione EUR 17,80
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Linear Representations of Finite Groups (Graduate Texts in Mathematics)
Print on DemandDa: Revaluation Books, Exeter, Regno Unito
Valutazione del venditore 5 su 5 stelle
Hardcover. Condizione: Brand New. corr. 4th edition. 170 pages. 9.50x6.25x0.50 inches. In Stock. This item is printed on demand. Codice articolo __0387901906
Compra nuovo
EUR 60,52
Spedizione EUR 11,52
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 1 disponibili
Immagini fornite dal venditore
Linear Representations of Finite Groups
Editore:
Springer-Verlag New York Inc., US, 1977
ISBN 10: 0387901906
ISBN 13: 9780387901909
Nuovo
Rilegato
Da: Rarewaves.com USA, London, LONDO, Regno Unito
Valutazione del venditore 5 su 5 stelle
Hardback. Condizione: New. 1st ed. 1977. Corr. 5th printing 1996. Codice articolo LU-9780387901909
Compra nuovo
EUR 74,12
Spedizione gratuita
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Linear Representations of Finite Groups
Da: GreatBookPrices, Columbia, MD, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: As New. Unread book in perfect condition. Codice articolo 671286
Compra usato
EUR 72,21
Spedizione EUR 2,30
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: Più di 20 disponibili