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Representation Theory of Finite Groups, by Martin Burrow
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This volume contains a concise exposition of the theory of finite groups, including the theory of modular representations. The rudiments of linear algebra and knowledge of the elementary concepts of group theory are useful, if not entirely indispensable, prerequisites for reading this book; most of the other requisites, such as the theory of p-adic fields, are developed in the text.
After an introductory chapter on group characters, repression modules, applications of ideas and results from group theory and the regular representation, the author offers penetrating discussions of the representation theory of rings with identity, the representation theory of finite groups, applications of the theory of characters, construction of irreducible representations and modular representations. Well-chosen exercises are included throughout to help students test their understanding of the material. An appendix on groups, rings, ideals, and fields, as well as a bibliography, round out this useful well-thought-out text.
Graduate students wishing to acquire some knowledge of representation theory will find this an excellent text for self-study. The book also lends itself to use as supplementary reading for a course in group theory or in the applications of representation theory to physics.
- Sales Rank: #9059796 in Books
- Published on: 1965-01-01
- Released on: 1965-01-01
- Format: Import
- Original language: English
- Dimensions: 8.00" h x .45" w x 5.25" l,
- Binding: Paperback
- 196 pages
Most helpful customer reviews
8 of 12 people found the following review helpful.
Found a Klein four group representation in this
By Roger Bagula
This book covers mostly matrix representations of finite groups.
Substitution groups and Klein groups are not covered ,
but I was pleased to find a good definition of Module
and a good introduction to the use of characters.
I bought it for a reference and for future study.
It isn't what I would call a math book for the faint of heart
or for beginners. More of a math majors and graduate text.
for science students of quantum groups.
It also lacks a bridge to classical Lie Algebra theory.
Looking for a coverage of Clifford algebra and quarternions?
That is not here either.
What made want to change this review is the last group decomposition of groups into vectors that helps with
ideas of group representations from Cartan matices to
vector elements and the symmetric/ alternating two element matrix generators.
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