Lectures on Quantum Groups: Second Edition

Etingof, Pavel; Schiffman, Olivier

ISBN 10: 1571460942 / ISBN 13: 9781571460943

Published by International Press, Somerville MA, 2002

About this Item

Hard cover, no jacket, in very good condition. From the collection of a London Professor of Mathematics, (ret'd.). Notable tanning to boards, otherwise in fine condition. Pages tightly bound, content is 'as unread'. CN.

Seller Inventory # 616115

Bibliographic Details

• Title: Lectures on Quantum Groups: Second Edition
• Publisher: International Press, Somerville MA
• Publication Date: 2002
• Language: English
• ISBN 10: 1571460942
• ISBN 13: 9781571460943
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: Very Good
• Dust Jacket Condition: No Dust Jacket
• Seller catalogs:
  • Mathematics/Accounting

About this title

Synopsis

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

Poisson algebras and quantization
Poisson-Lie groups
Coboundary Lie bialgebras
Drinfeld's double construction
Belavin-Drinfeld classification (I)
Infinite dimensional Lie bialgebras
Belavin-Drinfeld classification (II)
Hopf algebras
Quantized universal enveloping algebras
Formal groups and h-formal groups
Infinite dimensional quantum groups
The quantum double
Tensor categories and quasi-Hopfalgebras
Braided tensor categories
KZ equations and the Drinfeld Category
Quasi-Hopf quantized enveloping algebras
Lie associators
Fiber functors and Tannaka-Krein duality
Quantization of finite dimensional Lie bialgebras
Universal constructions
Universal quantization
Dequantization and the Equalivalence

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.