Quantum Groups and Noncommutative Geometry

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 The Quantum Group $${{\mathrm{GL}}}_q(2)$$ GL q ( 2 )
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   Chapter 3 Bialgebras and Hopf Algebras
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   Chapter 4 Quadratic Algebras as Quantum Linear Spaces
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   Chapter 5 Quantum Matrix Spaces. I. Categorical Viewpoint
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   Chapter 6 Quantum Matrix Spaces. II. Coordinate Approach
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   Chapter 7 Adding Missing Relations
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   Chapter 8 From Semigroups to Groups
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    Chapter 9 Frobenius Algebras and the Quantum Determinant
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    Chapter 10 Koszul Complexes and the Growth Rate of Quadratic Algebras
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    Chapter 11 Hopf $$*$$ ∗ -Algebras and Compact Matrix Pseudogroups
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    Chapter 12 Yang–Baxter Equations
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    Chapter 13 Algebras in Tensor Categories and Yang–Baxter Functors
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    Chapter 14 Some Open Problems
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    Chapter 15 The Tannaka–Krein Formalism and (Re)Presentations of Universal Quantum Groups