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Semisolvability of Semisimple Hopf Algebras of Low Dimension
| eBook ISBN: | 978-1-4704-0478-9 |
| Product Code: | MEMO/186/874.E |
| List Price: | $68.00 |
| MAA Member Price: | $61.20 |
| AMS Member Price: | $40.80 |
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Semisolvability of Semisimple Hopf Algebras of Low Dimension
| eBook ISBN: | 978-1-4704-0478-9 |
| Product Code: | MEMO/186/874.E |
| List Price: | $68.00 |
| MAA Member Price: | $61.20 |
| AMS Member Price: | $40.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 186; 2007; 123 ppMSC: Primary 16; Secondary 17
The author proves that every semisimple Hopf algebra of dimension less than \(60\) over an algebraically closed field \(k\) of characteristic zero is either upper or lower semisolvable up to a cocycle twist.
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Table of Contents
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Chapters
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Introduction and main results
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Conventions and notation
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1. Semisimple Hopf algebras
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2. The Nichols-Richmond theorem
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3. Quotient coalgebras
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4. Braided Hopf algebras
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5. Cocycle deformations of some Hopf algebras
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6. Dimension 24
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7. Dimension 30
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8. Dimension 36
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9. Dimension 40
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10. Dimension 42
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11. Dimension 48
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12. Dimension 54
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13. Dimension 56
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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
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Volume: 186; 2007; 123 pp
MSC: Primary 16; Secondary 17
The author proves that every semisimple Hopf algebra of dimension less than \(60\) over an algebraically closed field \(k\) of characteristic zero is either upper or lower semisolvable up to a cocycle twist.
-
Chapters
-
Introduction and main results
-
Conventions and notation
-
1. Semisimple Hopf algebras
-
2. The Nichols-Richmond theorem
-
3. Quotient coalgebras
-
4. Braided Hopf algebras
-
5. Cocycle deformations of some Hopf algebras
-
6. Dimension 24
-
7. Dimension 30
-
8. Dimension 36
-
9. Dimension 40
-
10. Dimension 42
-
11. Dimension 48
-
12. Dimension 54
-
13. Dimension 56
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.