Lectures on Quantum Groups

Hardcover

ISBN 10: 1571460632 ISBN 13: 9781571460639

Publisher: International Press of Boston, 2001

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.

About the Author:

Pavel Etingof is a professor of Mathematics, currently at MIT, the Massachusetts Institute of Technology.

Olivier Schiffmann is a mathematics professor in Strasbourg, France and currently at MIT.

Review:

The best book the I've ever read on the subject. --reader