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Representations and Characters of Groups

Representations and Characters of Groups

2nd Edition

$79.99 (X)

  • Authors:
  • Date Published: November 2001
  • availability: In stock
  • format: Paperback
  • isbn: 9780521003926

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About the Authors
  • 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.

    • 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
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    Reviews & endorsements

    " 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: 229 x 152 x 24 mm
    • weight: 0.62kg
    • contains: 28 b/w illus. 163 tables
    • availability: In stock
  • 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
  • Authors

    Gordon James, Imperial College of Science, Technology and Medicine, London

    Martin Liebeck, Imperial College of Science, Technology and Medicine, London

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