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Reductive Subgroups of Exceptional Algebraic Groups

Martin W. Liebeck Imperial College, London, England
Gary M. Seitz University of Oregon, Eugene, OR
Available Formats:
Electronic ISBN: 978-1-4704-0165-8
Product Code: MEMO/121/580.E
List Price: $45.00 MAA Member Price:$40.50
AMS Member Price: $27.00 Click above image for expanded view Reductive Subgroups of Exceptional Algebraic Groups Martin W. Liebeck Imperial College, London, England Gary M. Seitz University of Oregon, Eugene, OR Available Formats:  Electronic ISBN: 978-1-4704-0165-8 Product Code: MEMO/121/580.E  List Price:$45.00 MAA Member Price: $40.50 AMS Member Price:$27.00
• Book Details

Memoirs of the American Mathematical Society
Volume: 1211996; 111 pp
MSC: 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.

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
• Requests

Review Copy – for reviewers who would like to review an AMS book
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Volume: 1211996; 111 pp
MSC: 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.

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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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