| Softcover ISBN: | 978-0-8218-5276-7 |
| Product Code: | SURV/43.S |
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| eBook ISBN: | 978-1-4704-1274-6 |
| Product Code: | SURV/43.S.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-5276-7 |
| eBook: ISBN: | 978-1-4704-1274-6 |
| Product Code: | SURV/43.S.B |
| List Price: | $254.00 $191.50 |
| MAA Member Price: | $228.60 $172.35 |
| AMS Member Price: | $203.20 $153.20 |
| Softcover ISBN: | 978-0-8218-5276-7 |
| Product Code: | SURV/43.S |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| eBook ISBN: | 978-1-4704-1274-6 |
| Product Code: | SURV/43.S.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-5276-7 |
| eBook ISBN: | 978-1-4704-1274-6 |
| Product Code: | SURV/43.S.B |
| List Price: | $254.00 $191.50 |
| MAA Member Price: | $228.60 $172.35 |
| AMS Member Price: | $203.20 $153.20 |
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Book DetailsMathematical Surveys and MonographsVolume: 43; 1995; 196 ppMSC: Primary 20; Secondary 17; 22
The book provides a useful exposition of results on the structure of semisimple algebraic groups over an arbitrary algebraically closed field. After the fundamental work of Borel and Chevalley in the 1950s and 1960s, further results were obtained over the next thirty years on conjugacy classes and centralizers of elements of such groups.
A reader-friendly volume which will be very useful to those wishing to know more about the structure of algebraic groups ... contains both a straightforward guide to the simpler ideas in the subject, and also a fascinating glimpse into some of the more abstruse areas which are the subject of current investigation.
—Bulletin of the LMS
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Table of Contents
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Chapters
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0. Review of semisimple groups
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1. Basic facts about classes and centralizers
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2. Centralizers of semisimple elements
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3. The Adjoint quotient
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4. Regular elements
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5. Parabolic subgroups and unipotent classes
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6. The Unipotent variety and the flag variety
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7. Nilpotent orbits and unipotent classes
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8. Finite groups of Lie type
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9. Springer’s Weyl group representations
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10. Complements
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
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The book provides a useful exposition of results on the structure of semisimple algebraic groups over an arbitrary algebraically closed field. After the fundamental work of Borel and Chevalley in the 1950s and 1960s, further results were obtained over the next thirty years on conjugacy classes and centralizers of elements of such groups.
A reader-friendly volume which will be very useful to those wishing to know more about the structure of algebraic groups ... contains both a straightforward guide to the simpler ideas in the subject, and also a fascinating glimpse into some of the more abstruse areas which are the subject of current investigation.
—Bulletin of the LMS
-
Chapters
-
0. Review of semisimple groups
-
1. Basic facts about classes and centralizers
-
2. Centralizers of semisimple elements
-
3. The Adjoint quotient
-
4. Regular elements
-
5. Parabolic subgroups and unipotent classes
-
6. The Unipotent variety and the flag variety
-
7. Nilpotent orbits and unipotent classes
-
8. Finite groups of Lie type
-
9. Springer’s Weyl group representations
-
10. Complements
