
eBook ISBN: | 978-0-8218-9108-7 |
Product Code: | MEMO/219/1028.E |
List Price: | $72.00 |
MAA Member Price: | $64.80 |
AMS Member Price: | $43.20 |

eBook ISBN: | 978-0-8218-9108-7 |
Product Code: | MEMO/219/1028.E |
List Price: | $72.00 |
MAA Member Price: | $64.80 |
AMS Member Price: | $43.20 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 219; 2012; 134 ppMSC: Primary 16; Secondary 17
The authors prove that the kernel of the action of the modular group on the center of a semisimple factorizable Hopf algebra is a congruence subgroup whenever this action is linear. If the action is only projective, they show that the projective kernel is a congruence subgroup. To do this, they introduce a class of generalized Frobenius-Schur indicators and endow it with an action of the modular group that is compatible with the original one.
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Table of Contents
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Chapters
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Introduction
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1. The Modular Group
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2. Quasitriangular Hopf Algebras
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3. Factorizable Hopf Algebras
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4. The Action of the Modular Group
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5. The Semisimple Case
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6. The Case of the Drinfel’d Double
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7. Induced Modules
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8. Equivariant Frobenius-Schur Indicators
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9. Two Congruence Subgroup Theorems
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10. The Action of the Galois Group
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11. Galois Groups and Indicators
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12. Galois Groups and Congruence Subgroups
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The authors prove that the kernel of the action of the modular group on the center of a semisimple factorizable Hopf algebra is a congruence subgroup whenever this action is linear. If the action is only projective, they show that the projective kernel is a congruence subgroup. To do this, they introduce a class of generalized Frobenius-Schur indicators and endow it with an action of the modular group that is compatible with the original one.
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Chapters
-
Introduction
-
1. The Modular Group
-
2. Quasitriangular Hopf Algebras
-
3. Factorizable Hopf Algebras
-
4. The Action of the Modular Group
-
5. The Semisimple Case
-
6. The Case of the Drinfel’d Double
-
7. Induced Modules
-
8. Equivariant Frobenius-Schur Indicators
-
9. Two Congruence Subgroup Theorems
-
10. The Action of the Galois Group
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11. Galois Groups and Indicators
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12. Galois Groups and Congruence Subgroups