Klimyk, Anatoli

Quantum groups and their representations - Berlin: Springer, 1997. - xx, 552 p.; pb; 24 cm. - Texts and Monographs in Physics. .

Bibliographic Level Mode of Issuance: Monograph.
Includes bibliographical references and index.

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.

9783642646010


Physics
Hopf Algebras
Drinfeld
Finite Dimensional Representations
Covariant Differential Calculus
Quantum Spaces
Quantized Algebras
Quantum Group
Hopf Bimodules
Exterior Algebras
Covariant Differential Calculus

530.15 / KLI