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Quantum Groups

Overview of attention for book
Cover of 'Quantum Groups'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries
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    Chapter 2 Tensor Products
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    Chapter 3 The Language of Hopf Algebras
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    Chapter 4 The Quantum Plane and Its Symmetries
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    Chapter 5 The Lie Algebra of SL(2)
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    Chapter 6 The Quantum Enveloping Algebra of sl(2)
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    Chapter 7 A Hopf Algebra Structure on Uq(sl(2))
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    Chapter 8 The Yang-Baxter Equation and (Co)Braided Bialgebras
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    Chapter 9 Drinfeld’s Quantum Double
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    Chapter 10 Knots, Links, Tangles, and Braids
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    Chapter 11 Tensor Categories
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    Chapter 12 The Tangle Category
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    Chapter 13 Braidings
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    Chapter 14 Duality in Tensor Categories
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    Chapter 15 Quasi-Bialgebras
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    Chapter 16 Generalities on Quantum Enveloping Algebras
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    Chapter 17 Drinfeld and Jimbo’s Quantum Enveloping Algebras
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    Chapter 18 Cohomology and Rigidity Theorems
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    Chapter 19 Monodromy of the Knizhnik-Zamolodchikov Equations
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    Chapter 20 Postlude. A Universal Knot Invariant
Attention for Chapter 3: The Language of Hopf Algebras
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