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Representations and Characters of Groups

ISBN-10: 052100392X
ISBN-13: 9780521003926
Edition: 2nd 2001 (Revised)
List price: $79.99 Buy it from $62.25
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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.

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Book details

List price: $79.99
Edition: 2nd
Copyright year: 2001
Publisher: Cambridge University Press
Publication date: 10/18/2001
Binding: Paperback
Pages: 468
Size: 6.00" wide x 8.75" long x 1.00" tall
Weight: 0.968
Language: English

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.

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

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