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Reductive Subgroups of Exceptional Algebraic Groups
Martin W. Liebeck, Imperial College, London, England, and Gary M. Seitz, University of Oregon, Eugene, OR
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Memoirs of the American Mathematical Society
1996; 111 pp; softcover
Volume: 121
ISBN-10: 0-8218-0461-8
ISBN-13: 978-0-8218-0461-2
List Price: US$42
Individual Members: US$25.20
Institutional Members: US$33.60
Order Code: MEMO/121/580
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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.

Readership

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

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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