Introduction to Quantum Groups

• Main Author: Lusztig, George. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2010.
• Series: Modern Birkhũser Classics
• Subjects: Mathematics.; Algebra.; Group theory.; Topological Groups.; Quantum theory.; Mathematical physics.; Group Theory and Generalizations.; Quantum Physics.; Topological Groups, Lie Groups.; Mathematical Methods in Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4717-9

The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. It is shown that these algebras have natural integral forms that can be specialized at roots of 1 and yield new objects, which include quantum versions of...

Table of Contents:

• Preface
• Part I: The Drinfeld-Jimbo Algebra U
• Part II: Geometric Realization of f
• Part III: Kashiwara<U+0019>s Operators and Applications
• Part IV: Canonical Basis of U
• Part V: Change of Rings
• Part VI: Braid Group Action
• Index of Notation
• Index of Terminology.