Quantum Groups and Their Representations (Theoretical and Mathematical Physics) - Hardcover

Klimyk, Anatoli; Schmüdgen, Konrad

Hardcover

ISBN 10: 3540634525 ISBN 13: 9783540634522

Publisher: Springer, 1997

Synopsis

This book provides a treatment of the theory of quantum groups (quantized universal enveloping algebras and quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The theory of the simplest and most important quantum groups and their representations is presented in detail. A number of topics and results from the more advanced general theory are developed and discussed. Many applications in mathematical and theoretical physics are indicated. The book starts as an introduction for the beginner and continues at a textbook level for graduate students in physics and in mathematics. It may serve as a reference for more advanced readers.

About this title

From the Back Cover

This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers.
The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.

Edition details

• Publisher: Springer
• Publication date: 1997
• Language: English
• ISBN 10: 3540634525
• ISBN 13: 9783540634522
• Binding: Hardcover
• Number of pages: 552