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Modular representations of finite groups

โœ 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

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โœฆ 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


๐Ÿ“œ SIMILAR VOLUMES


Modular representations of finite groups
โœ Puttaswamaiah B.M., Dixon J.D. ๐Ÿ“‚ Library ๐Ÿ“… 1977 ๐Ÿ› AP ๐ŸŒ English

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

Modular representation theory of finite
โœ P Schneider ๐Ÿ“‚ Library ๐Ÿ“… 2013 ๐Ÿ› Springer ๐ŸŒ English

1. Prerequisites in module theory -- 2. The Cartan-Brauer Triangle -- 3. The Brauer character -- 4. Green's theory of indecomposable modules -- 5. Blocks

Modular Representation Theory of Finite
โœ Peter Schneider (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2013 ๐Ÿ› Springer-Verlag London ๐ŸŒ English

<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

Modular representations of finite groups
โœ James E. Humphreys ๐Ÿ“‚ Library ๐Ÿ“… 2006 ๐Ÿ› Cambridge University Press ๐ŸŒ English

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