Modular representations of finite groups
โ Scribed by B.M. Puttaswamaiah and John D. Dixon
- Publisher
- Academic Press, Elsevier
- Year
- 1977
- Leaves
- 250
- Series
- Pure and Applied Mathematics 73
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content:
Pure and Applied Mathematics: A Series of Monographs and Textbooks
Page ii
Editorial Page
Page iii
Copyright Page
Page iv
Preface
Pages ix-x
Note to the Reader
Page xi
Notation
Pages xiii-xv
Chapter I Representation Modules
Pages 1-32
Chapter II Induced Modules and Characters
Pages 33-61
Chapter III Modular Representations and Characters
Pages 62-88
Chapter IV Blocks of Group Algebras
Pages 89-115
Chapter V The Theory of Indecomosable Modules
Pages 116-141
Chapter VI The Main Theorems of Brauer
Pages 142-168
Chapter VII Fusion of 2-Groups
Pages 169-196
Chapter VIII Blocks with Cyclic Defect Groups
Pages 197-228
References
Pages 229-237
Index
Pages 239-242
๐ SIMILAR VOLUMES
Definitive treatment covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras over an arbitrary field, and more. Classic handbook for researchers and students; useable in graduate courses or for self-study
1. Prerequisites in module theory -- 2. The Cartan-Brauer Triangle -- 3. The Brauer character -- 4. Green's theory of indecomposable modules -- 5. Blocks
<p><p>Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space. For finite groups the theory comes in two distinct flavours. In the 'semisimple case' (for example over the field of complex numbers) one can use character theory to completely un
book draft of: http://libgen.io/book/index.php?md5=9639FA5ACC1A8004F46308A84CA2A0B1
Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type o