Representations and Characters of Groups

Name: Representations and Characters of Groups
Price: 32.9 USD
Availability: InStock
ISBN: 9780521003926

ISBN-10: 052100392X

ISBN-13: 9780521003926

Edition: 2nd 2001 (Revised)

Authors: Gordon James, Martin W. Liebeck

List price: $101.00

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Description:

Introducing the representation theory of finite groups, this second edition has been revised and updated. The theory is developed in terms of modules with considerable emphasis placed upon constructing characters.

Book details

List price: $101.00
Edition: 2nd
Copyright year: 2001
Publisher: Cambridge University Press
Publication date: 10/18/2001
Binding: Paperback
Pages: 468
Size: 6.18" wide x 9.25" long x 1.10" tall
Weight: 1.628
Language: English




Groups and homomorphisms



Vector spaces and linear transformations



Group representations



FG-modules



FG-submodules



Group algebras



FG-homomorphisms



Mashcke-s theorem



Schur-s lemma



Irreducible modules and the group algebra



More on the group algebra



Conjugacy classes



Characters



Inner products of characters



The number of irreducible characters



Character tables and orthogonality relations



Normal subgroups and lifted characters



Some elementary character tables



Tensor products



Restriction to a subgroup



Induced modules and characters



Algebraic integers



Real representations



Summary of properties of character tables



Characters of groups of order pq



Characters of some p-groups



Character table of the simple group of order 168



Character table of GL(2,q)



Permutations and characters



Applications to group theory



Burnside-s theorem



An application of representation theory to molecular vibration