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Lectures on Quantum Groups
About this Title
Jens Carsten Jantzen, Aarhus University, Aarhus, Denmark
Publication: Graduate Studies in Mathematics
Publication Year:
1996; Volume 6
ISBNs: 978-0-8218-0478-0 (print); 978-1-4704-2067-3 (online)
DOI: https://doi.org/10.1090/gsm/006
MathSciNet review: MR1359532
MSC: Primary 17B37; Secondary 16W30
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- Chapter 0. Gaussian binomial coefficients
- Chapter 1. The quantized enveloping algebra $U_q(\mathfrak {sl}_2)$
- Chapter 2. Representations of $U_q(\mathfrak {sl}_2)$
- Chapter 3. Tensor products or: $U_q(\mathfrak {sl}_2)$ as a Hopf algebra
- Chapter 4. The quantized enveloping algebra $U_q(\mathfrak {g})$
- Chapter 5. Representations of $U_q(\mathfrak {g})$
- Chapter 5A. Examples of representations
- Chapter 6. The center and bilinear forms
- Chapter 7. $R$-matrices and $k_q[G]$
- Chapter 8. Braid group actions and PBW type basis
- Chapter 8A. Proof of proposition 8.28
- Chapter 9. Crystal bases I
- Chapter 10. Crystal bases II
- Chapter 11. Crystal bases III