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Quantum Groups (Lecture Notes in Computer Science)
Quantum Groups - Lecture Notes in Computer Science Author:Christian Kassel This introduction to the theory of quantum groups emphasizes the connection to knot theory and Drinfeld's recent fundamental contributions. The first part focuses on the basic concepts of the theory of Hopf algebras. Part 2 examines Hopf algebras that produce solutions to the Yang-Baxter equation, and Drinfeld's quantum double construction. Isot... more »opy invariants of knots and links in the three-dimensional Euclidean space are then constructed, using the language of tensor categories. The text concludes with an account of Drinfeld's treatment of the monodromy of the Knizhnik-Zamolodchikov Equations, culminating in the construction of Kontsevich's universal knot invariant.« less