Modular representations of finite groups

✍ Scribed by Puttaswamaiah B.M., Dixon J.D.

Publisher: AP
Year: 1977
Tongue: English
Leaves: 259
Series: Pure and Applied Mathematics
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

✦ Table of Contents

Contents ......Page 5
Preface ......Page 9
Note to the Reader ......Page 11
Notation ......Page 13
I Representation Modules ......Page 17
II Induced Modules and Characters ......Page 49
III ModuIar Representations and Characters ......Page 78
IV Blocks of Group Algebras ......Page 105
V The Theory of Indecomposable Modules ......Page 132
VI The Main Theorems of Brauer ......Page 158
VII Fusion of ZGroups ......Page 185
VIII Blocks with Cyclic Defect Groups ......Page 213
References ......Page 245
Index ......Page 255

📜 SIMILAR VOLUMES

Modular representations of finite groups

📁 Modular representations of finite groups

✍ Author Unknown 📂 Library 📅 1977 🏛 AP 🌐 English

Modular representations of finite groups

📁 Modular representations of finite groups

✍ B.M. Puttaswamaiah and John D. Dixon 📂 Library 📅 1977 🏛 Academic Press, Elsevier

Modular representation theory of finite

📁 Modular representation theory of finite groups

✍ P Schneider 📂 Library 📅 2013 🏛 Springer 🌐 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

📁 Modular Representation Theory of Finite Groups

✍ Peter Schneider (auth.) 📂 Library 📅 2013 🏛 Springer-Verlag London 🌐 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 representation theory of finite

📁 Modular representation theory of finite groups [draft]

✍ Peter Schneider 📂 Library 📅 2011 🌐 English

book draft of: http://libgen.io/book/index.php?md5=9639FA5ACC1A8004F46308A84CA2A0B1

Modular representations of finite groups

📁 Modular representations of finite groups of Lie type

✍ James E. Humphreys 📂 Library 📅 2006 🏛 Cambridge University Press 🌐 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