Research Catalog

Title

Representations and characters of groups / Gordon James and Martin Liebeck.

Author

James, G. D. (Gordon Douglas), 1945-

Publication

Cambridge ; New York : Cambridge University Press, 1993.

Items in the Library & Off-site

Details

Additional Authors

Liebeck, M. W. (Martin W.), 1954-

Description

x, 419 pages : illustrations; 24 cm

Summary

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

Series Statement

Cambridge mathematical textbooks

Uniform Title

Cambridge mathematical textbooks.

Subject

• Representations of groups
• 31.21 theory of groups
• Caractères de groupes
• Groupes finis
• Représentations de groupes

Bibliography (note)

• Includes bibliographical references (p. 415) and index.

Contents

• 1. Groups and homomorphisms -- 2. Vector spaces and linear transformations -- 3. Group representations -- 4. FG-modules -- 5. FG-submodules and reducibility -- 6. Group algebras -- 7. FG-homomorphisms -- 8. Maschke'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.

ISBN

• 0521440246
• 9780521440240
• 0521445906
• 9780521445900

LCCN

92030619

OCLC

• ocm26673869
• 26673869
• SCSB-1996325

Owning Institutions

Princeton University Library