Introduction 1. Definition of Hopf algebras 2. Quasitriangular Hopf algebras 3. Quantum enveloping algebras 4. Matrix quantum groups 5. Quantum random walks and combinatorics 6. Bicrossproduct Hopf algebras 7. Quantum double and double cross products 8. Lie bialgebras and Poisson brackets 9. Representation theory 10. Braided groups and q-deformation References Symbols Indexes.
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