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Original Essays | September 17, 2014

Merritt Tierce: IMG Has My Husband Read It?



My first novel, Love Me Back, was published on September 16. Writing the book took seven years, and along the way three chapters were published in... Continue »
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    Love Me Back

    Merritt Tierce 9780385538077

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Representations & Characters of Grou 2ND Edition

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Representations & Characters of Grou 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

For students who have completed first undergraduate courses involving group theory and linear algebra, the text introduces the representational theory of groups, which is concerned with the ways of writing a group as a group of matrices. The first edition appeared in 1993; the second includes new chapters on the character tables of an infinite series of groups, and permutation groups.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This work is the second edition of a textbook on representation theory of finite groups.

Synopsis:

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

Synopsis:

This is the second edition of the popular textbook on representation theory of finite groups.

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.

Product Details

ISBN:
9780521003926
Author:
James, G. D.
Author:
Liebeck, M. W.
Author:
Liebeck, Martin
Author:
Liebeck, Martin W.
Author:
James, Gordon
Author:
James, Gordon Douglas
Author:
James, G. D.
Publisher:
Cambridge University Press
Location:
Cambridge, UK
Subject:
Algebra - General
Subject:
Group Theory
Subject:
Representations of groups
Subject:
Reprâesentations de groupes
Subject:
Representations of groups Representations of
Subject:
Mathematics-Group Theory
Edition Number:
2
Edition Description:
Trade paper
Series Volume:
no. WQ-95-74.
Publication Date:
20011031
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
28 b/w illus. 163 tables
Pages:
466
Dimensions:
8.58x6.76x1.14 in. 1.60 lbs.

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Related Subjects

Humanities » Philosophy » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Group Theory

Representations & Characters of Grou 2ND Edition New Trade Paper
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Product details 466 pages Cambridge University Press - English 9780521003926 Reviews:
"Synopsis" by , This work is the second edition of a textbook on representation theory of finite groups.
"Synopsis" by , 'This book provides a modern introduction to the representation theory of finite groups.'
"Synopsis" by , This is the second edition of the popular textbook on representation theory of finite groups.
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