Representations and Characters of Groups 2nd Edition by James, Liebeck 052100392X 9780521003926

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Product details:

ISBN 10: 052100392X 

ISBN 13: 9780521003926

Author:  James G., Liebeck M. W. 

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.

 

Representations and Characters of Groups 2nd Table of contents:

1 – Groups and homorphismspp 

2 – Vector spaces and linear transformationspp 

3 – Group representationspp

4 – FG-modulespp 

5 – FG-submodules and reducibilitypp 

6 – Group algebraspp 

7 – FG-homomorphismspp 

8 – Maschke’s Theorempp

9 – Schur’s Lemmapp 

10 – Irreducible modules and the group algebrapp 

11 – More on the group algebrapp

12 – Conjugacy classespp 

13 – Characterspp 

14 – Inner products of characterspp 

15 – The number of irreducible characterspp 

16 – Character tables and orthogonality relationspp 

17 – Normal subgroups and lifted characterspp

18 – Some elementary character tablespp

19 – Tensor productspp 

20 – Restriction to a subgrouppp 

21 – Induced modules and characterspp 

22 – Algebraic integerspp 

23 – Real representationspp 

24 – Summary of properties of character tablespp 

25 – Characters of groups of order pqpp 

26 – Characters of some p-groupspp 

27 – Character table of the simple group of order 

 

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Tags: Representations, Characters, Groups, James, Liebeck