Introduction 1 Revision of basic structures 2 Duality between geometry and algebra 3 The quantum general linear group 4 Modules and tensor products 5 Cauchy modules 6 Algebras 7 Coalgebras and bialgebras 8 Dual coalgebras of algebras 9 Hopf algebras 10 Representations of quantum groups 11 Tensor categories 12 Internal homs and duals 13 Tensor functors and Yang-Baxter operators 14 A tortile Yang-Baxter operator for each finite—dimensional vector space 15 Monoids in tensor categories 16 Tannaka duality 17 Adjoining an antipode to a bialgebra 18 The quantum general linear group again 19 Solutions to Exercises References Index 編輯手記