Reductive Subgroups of Exceptional Algebraic Groups

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

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ISBN: 9780821804612 | 0821804618
Cover: Paperback
Copyright: 4/1/1996

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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.

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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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Reductive Subgroups of Exceptional Algebraic Groups

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