✦ LIBER ✦

Representation and characters of groups

✍ Scribed by Gordon James, Martin Liebeck

Book ID: 127418484
Publisher: Cambridge University Press
Year: 2001
Tongue: English
Weight: 2 MB
Edition: 2
Category: Library
ISBN: 052100392X

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

The Characters and Representations of Im

The Characters and Representations of Imprimitive Groups

✍ Littlewood, D. E. 📂 Article 📅 1956 🏛 Oxford University Press 🌐 English ⚖ 320 KB

The Theory of Group Characters and Matri

The Theory of Group Characters and Matric Representations of Groups

✍ HIGMAN, GRAHAM 📂 Article 📅 1940 🏛 Nature Publishing Group 🌐 English ⚖ 96 KB

The theory of group characters and matri

The theory of group characters and matrix representations of groups

✍ Dudley E. Littlewood 📂 Library 📅 2005 🏛 AMS Chelsea Pub 🌐 English ⚖ 7 MB

Originally written in 1940, this book remains a classical source on representations and characters of finite and compact groups. The book starts with necessary information about matrices, algebras, and groups. Then the author proceeds to representations of finite groups. Of particular interest in th

Module Characters and Projective Represe

Module Characters and Projective Representations of Finite Groups

✍ Nauwelaerts, E.; van Oystaeyen, F. 📂 Article 📅 1991 🏛 Oxford University Press 🌐 English ⚖ 378 KB

On centralizer rings and characters of r

On centralizer rings and characters of representations of finite groups

✍ Charles W. Curtis; Timothy V. Fossum 📂 Article 📅 1968 🏛 Springer-Verlag 🌐 French ⚖ 309 KB

Representations of Spinor Groups and the

Representations of Spinor Groups and the Difference Characters ofSO(2n)

✍ Kazuhiko Koike 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 536 KB

Then we introduce the actual structure constant of type B n and C n . Let n B \* +, & denote the multiplicity of \* SO(2n+1) in the irreducible decomposition of the tensor product + SO(2n+1) & SO(2n+1) and n C \* +, & denote the multiplicity of \* Sp(2n) in the irreducible decomposition of the tenso