Authors:
- A classical introduction to quantum groups
- Exercises and open problems included
- The standard reference book for the material presented
- Includes supplementary material: sn.pub/extras
Part of the book series: Modern Birkhäuser Classics (MBC)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (42 chapters)
-
Canonical Basis of $$\dot{\rm U}$$
-
Front Matter
-
-
CANONICAL BASIS OF U
-
Change of Rings
-
Front Matter
-
About this book
Reviews
"There is no doubt that this volume is a very remarkable piece of work...Its appearance represents a landmark in the mathematical literature."
—Bulletin of the London Mathematical Society
"This book is an important contribution to the field and can be recommended especially to mathematicians working in the field."
—EMS Newsletter
"The present book gives a very efficient presentation of an important part of quantum group theory. It is a valuable contribution to the literature."
—Mededelingen van het Wiskundig
"Lusztig's book is very well written and seems to be flawless...Obviously, this will be the standard reference book for the material presented and anyone interested in the Drinfeld–Jimbo algebras will have to study it very carefully."
—ZAA
"[T]his book is much more than an 'introduction to quantum groups.' It contains a wealth of material. In addition to the many important results (of which several are new–at least in the generality presented here), there are plenty of useful calculations (commutator formulas, generalized quantum Serre relations, etc.)."
—Zentralblatt MATH
“George Lusztig lays out the large scale structure of the discussion that follows in the 348 pages of his Introduction to Quantum Groups. … A significant and important work. … it’s terrific stuff, elegant and deep, and Lusztig presents it very well indeed, of course.” (Michael Berg, The Mathematical Association of America, January, 2011)
Authors and Affiliations
-
MIT, Cambridge, USA
George Lusztig
Bibliographic Information
Book Title: Introduction to Quantum Groups
Authors: George Lusztig
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-0-8176-4717-9
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2010
Softcover ISBN: 978-0-8176-4716-2Published: 02 November 2010
eBook ISBN: 978-0-8176-4717-9Published: 27 October 2010
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: XIV, 352
Topics: Group Theory and Generalizations, Quantum Physics, Topological Groups, Lie Groups, Algebra, Mathematical Methods in Physics