Representations and Characters of Groups - Brossura

James, Gordon Douglas; Liebeck, Martin W.

Brossura

ISBN 10: 0521445906 ISBN 13: 9780521445900

Casa editrice: Cambridge University Press, 1993

Riassunto

This book provides a modern introduction to the representation theory of finite groups.

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Descrizione del libro

This book provides a modern introduction to the representation theory of finite groups. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. This will be suitable as a text for those teaching a course in representation theory, and in view of the applications of the subject, will be of interest to chemists and physicists as well as mathematicians.

Contenuti

1. Groups and homomorphisms; 2. Vector spaces and linear transformations; 3. Group representations; 4. FG-modules; 5. FG-submodules; 6. Group algebras; 7. FG-homomorphisms; 8. Mashcke's theorem; 9. Schur's lemma; 10. Irreducible modules and the group algebra; 11. More on the group algebra; 12. Conjugacy classes; 13. Characters; 14. Inner products of characters; 15. The number of irreducible characters; 16. Character tables and orthogonality relations; 17. Normal subgroups and lifted characters; 18. Some elementary character tables; 19. Tensor products; 20. Restriction to a subgroup; 21. Induced modules and characters; 22. Algebraic integers; 23. Real representations; 24. Summary of properties of character tables; 25. Characters of groups of order pq; 26. Characters of some p-groups; 27. Character table of the simple group of order 168; 28. An application to group theory; 29. Burnside's theorem; 30. An application of representation theory to molecular vibration.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1993
• ISBN 10: 0521445906
• ISBN 13: 9780521445900
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 429
• Contatto del produttore: non disponibile