Electronic ISBN:  9781470401658 
Product Code:  MEMO/121/580.E 
List Price:  $45.00 
MAA Member Price:  $40.50 
AMS Member Price:  $27.00 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 121; 1996; 111 ppMSC: Primary 20;
The theory of simple algebraic groups is important in many areas of mathematics. The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple. This description is particularly useful in understanding centralizers of subgroups and restrictions of representations.
ReadershipGraduate students and research mathematicians interested in group theory and generalizations.

Table of Contents

Chapters

Introduction

1. Preliminaries

2. Some restrictions and tensor products

3. Complements in parabolics: Proof of Theorem 1

4. Centralizers of reductive subgroups: Deduction of Theorem 2

5. Embedding of reductive subgroups: Proofs of Theorems 5 and 7

6. Labelled diagrams and conjugacy: Proofs of Theorems 4 and 6

7. Further results: Theorems 3 and 8

8. Tables of simple subgroups of rank at least 2 in exceptional groups


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The theory of simple algebraic groups is important in many areas of mathematics. The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple. This description is particularly useful in understanding centralizers of subgroups and restrictions of representations.
Graduate students and research mathematicians interested in group theory and generalizations.

Chapters

Introduction

1. Preliminaries

2. Some restrictions and tensor products

3. Complements in parabolics: Proof of Theorem 1

4. Centralizers of reductive subgroups: Deduction of Theorem 2

5. Embedding of reductive subgroups: Proofs of Theorems 5 and 7

6. Labelled diagrams and conjugacy: Proofs of Theorems 4 and 6

7. Further results: Theorems 3 and 8

8. Tables of simple subgroups of rank at least 2 in exceptional groups