Quantum groups/ Kassel, Christian

Includes bibliographical references and index

Part One- Quantum SL(2) -- Preliminaries -- Tensor products -- The Language of Hopf algebras -- The Quantum plane and its symmetries -- The lie algebra of SL(2) -- The Quantum enveloping algebra of sl(2) -- A Hopf algebra structure on Uq(sl(2)) -- Part Two- Universal R-matrices -- The Yang-Baxter equation and (Co) braided bialgebras -- Drinfeld's quantum double -- Part Three- Low-dimensional topology and tensor categories -- Knots, links, tangles and braids -- Tensor categories -- The Tangle category -- Braidings -- Duality in tensor categories -- Quasi-Bialgebras -- Part Four- Quantum groups and monodromy -- Generalities on quantum enveloping algebras --Drinfeld and Jimbo's quantum enveloping algebras -- Cohomology and rigidity theorems -- Monodromy of the Knizhnik-Zamolodchikov equations -- Postlude. A universal knot invariant