Contents
Introduction 1
Chapter 0. Gaussian Binomial Coefficients 5
Chapter 1. The Quantized Enveloping Algebra Uq(s\2) 9
Chapter 2. Representations of Uq(si2) 17
Chapter 3. Tensor Products or: Uq{B\2) as a Hopf Algebra 31
Chapter 4. The Quantized Enveloping Algebra Uq{%) 51
Chapter 5. Representations of Uq(g) 69
Chapter 5A. Examples of Representations 87
Chapter 6. The Center and Bilinear Forms 105
Chapter 7. i2-matrices and kq[G] 129
Chapter 8. Braid Group Actions and PBW Type Basis 141
Chapter 8A. Proof of Proposition 8.28 173
Chapter 9. Crystal Bases I 187
Chapter 10. Crystal Bases II 217
Chapter 11. Crystal Bases III 237
References 259
Notations 263
Index 265
Errata 267
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