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Reductive subgroups of exceptional algebraic groups / Martin W. Liebeck, Gary M. Seitz.
- Format:
- Book
- Author/Creator:
- Liebeck, M. W. (Martin W.), 1954- author.
- Seitz, Gary M., 1943- author.
- Series:
- Memoirs of the American Mathematical Society ; Number 580.
- Memoirs of the American Mathematical Society, 0065-9266 ; Number 580
- Language:
- English
- Subjects (All):
- Linear algebraic groups.
- Lie algebras.
- Physical Description:
- 1 online resource (122 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 1996.
- Language Note:
- English
- 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.
- Contents:
- ""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""; ""References""
- Notes:
- "May 1996, Volume 121, Number 580 (end of volume)."
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 1-4704-0165-7
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