Reductive Subgroups of Exceptional Algebraic Groups

by Liebeck, Martin W.; Seitz, Gary M.; American Mathematical Society

• ISBN13: 9780821804612
• ISBN10: 0821804618
• Format: Paperback
• Copyright: 1996-04-01
• Publisher: Amer Mathematical Society

Summary

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

Introduction

Preliminaries Some restrictions and tensor products

Complements in parabolics: proof of Theorem 1

Centralizers of reductive subgroups: deduction of Theorem 2

Embedding of reductive subgroups: proofs of Theorems 5 and 7

Labelled diagrams and conjugacy: deduction of Theorems 4 and 6

Further results: Theorems 3 and 8

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

References

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