TY - GEN AU - Klimyk, Anatoli AU - Schmüdgen, Konrad TI - Quantum groups and their representations SN - 9783642646010 U1 - 530.15 PY - 1997/// CY - Berlin PB - Springer KW - Physics KW - Hopf Algebras KW - Drinfeld KW - Finite Dimensional Representations KW - Covariant Differential Calculus KW - Quantum Spaces KW - Quantized Algebras KW - Quantum Group KW - Hopf Bimodules KW - Exterior Algebras N1 - Bibliographic Level Mode of Issuance: Monograph. Includes bibliographical references and index N2 - 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 ER -