**Memoirs of the American Mathematical Society**

1996;
111 pp;
Softcover

MSC: Primary 20;

Print ISBN: 978-0-8218-0461-2

Product Code: MEMO/121/580

List Price: $45.00

Individual Member Price: $27.00

**Electronic ISBN: 978-1-4704-0165-8
Product Code: MEMO/121/580.E**

List Price: $45.00

Individual Member Price: $27.00

# Reductive Subgroups of Exceptional Algebraic Groups

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*Martin W. Liebeck; Gary M. Seitz*

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.

#### Table of Contents

# Table of Contents

## Reductive Subgroups of Exceptional Algebraic Groups

- Introduction 18 free
- 1. Preliminaries 815 free
- 2. Some restrictions and tensor products 1724
- 3. Complements in parabolics: proof of Theorem 1 3239
- 4. Centralizers of reductive subgroups: deduction of Theorem 2 4653
- 5. Embedding of reductive subgroups: proofs of Theorems 5 and 7 5360
- 6. Labelled diagrams and conjugacy: proofs of Theorems 4 and 6 6976
- 7. Further results: Theorems 3 and 8 9097
- 8. Tables of simple subgroups of rank at least 2 in exceptional groups 96103
- References 110117

#### Readership

Graduate students and research mathematicians interested in group theory and generalizations.