Lectures on Quantum Groups 2nd Edition by Pavel Etingof, Olivier Schiffmann ISBN 9781571460943 1571460942

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Product details: 

ISBN 10:  1571460942

ISBN 13: 9781571460943

Author:  Pavel Etingof,  Olivier Schiffmann

Revised second edition. The text covers the material presented for a graduate-level course on quantum groups at Harvard University. The contents cover: Poisoon algebras and quantization, Poisson-Lie groups, coboundary Lie bialgebras, Drinfelds double construction, Belavin-Drinfeld classification, Infinite dimensional Lie bialgebras, Hopf algebras, Quantized universal enveloping algebras, formal groups and h-formal groups, infinite dimensional quantum groups, the quantum double, tensor categories and quasi Hopf-algebras, braided tensor categories, KZ equations and the Drinfeld Category, Quasi-Hpf enveloping algebras, Lie associators, Fiber functors and Tannaka-Driein duality, Quantization of finite Lie bialgebras, Universal constructions, Universal quantization, Dequantization and the equivalence theorem, KZ associator and multiple zeta functions, and Mondoromy of trigonometric KZ equations. Probems are given with each subject and an answer key is included.

Table of contents: 

1 Poisson algebras and quantization
2 Poisson-Lie groups
3 Coboundary Lie bialgebras
4 Drinfeld’s double construction
5 Belavin-Drinfeld classification I
6 Infinite dimensional Lie bialgebras
7 Belavin-Drinfeld classification II
8 Hopf algebras
9 Quantized universal enveloping algebras
10 Formal groups and h-formal groups
11 Infinite dimensional quantum groups
12 The quantum double
13 Tensor categories and quasi-Hopf algebras
14 Braided tensor categories
15 KZ equations and the Drinfeld Category
16 Quasi-Hopf quantized enveloping algebras
17 Lie associators
18 Fiber functors and Tannaka-Krein duality
19 Quantization of finite dimensional Lie bialgebras
20 Universal constructions
21 Universal quantization
22 Dequantization and the Equivalence

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Tags: Pavel Etingof, Olivier Schiffmann, Lectures on Quantum