Representations and Characters of Groups
2nd Edition
$106.00 (X)
- Authors:
- Gordon James, Imperial College of Science, Technology and Medicine, London
- Martin Liebeck, Imperial College of Science, Technology and Medicine, London
- Date Published: November 2001
- availability: Available
- format: Paperback
- isbn: 9780521003926
$
106.00
(X)
Paperback
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This is the second edition of the popular textbook on representation theory of finite groups. The authors have revised the text greatly and included new chapters on Characters of GL(2,q) and Permutations and Characters. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. The character tables of many groups are given, including all groups of order less than 32, and all but one of the simple groups of order less than 1000. Each chapter is accompanied by a variety of exercises, and full solutions to all the exercises are provided at the end of the book.
Read more- Greatly revised with new sections added
- Material is broken down into bite-sized chapters for easier study
- Applications to chemistry and physics set the book in a wider context
Reviews & endorsements
"...an elegant treatment of ordinary representation theory, at a level suited to undergraduates." Times Education Supplement
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×Product details
- Edition: 2nd Edition
- Date Published: November 2001
- format: Paperback
- isbn: 9780521003926
- length: 468 pages
- dimensions: 235 x 157 x 28 mm
- weight: 0.76kg
- contains: 28 b/w illus. 163 tables
- availability: Available
Table of Contents
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. Character table of GL(2,q)
29. Permutations and characters
30. Applications to group theory
31. Burnside's theorem
32. An application of representation theory to molecular vibration.Instructors have used or reviewed this title for the following courses
- Advanced Topics in Abstract Algebra
- Topics in Algebra
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