Quantum Groups and Their Representations

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

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Texts and Monographs in Physics Series Editors: R. Balian W. Beiglbock H. Grosse E. H. Lieb N. Reshetikhin H. Spohn W. Thirring From Microphysics to Macrophysics I + II Methods and Applications of Statistical Physics By R. Balian Variational Methods in Mathematical Physics A Unified Approach By P. Blanchard and E. Briining Quantum Mechanics: Foundations and Applications 3rd enlarged edition By A. Bohm The Early Universe Facts and Fiction 3rd corrected and enlarged edition By G. Bomer Operator Algebras and Quantum Statistical Mechanics I + II 2nd edition By O. Bratteli and D. W. Robinson Geometry of the Standard Model of Elementary Particles By A. Derdzinski Scattering Theory of Classical and Quantum N-Particle Systems By J. Derezinski and C. Gerard Effective Lagrangians for the Standard Model By A. Dobado, A. G6mez-Nicola, A. L. Maroto and J. R. Pelaez Quantum The Quantum Theory of Particles, Fields, and Cosmology By E. Elbaz Quantum Relativity A Synthesis of the Ideas of Einstein and Heisenberg By D. R. Finkelstein Quantum Mechanics I + II By A. Galindo and P. Pascual The Elements of Mechanics By G. Gallavotti Local Quantum Physics Fields, Particles, Algebras 2nd revised and enlarged edition ByR. Haag Supersymmetric Methods in Quantum and Statistical Physics By G. Junker

CP Violation Without Strangeness

Electric Dipole Moments of Particles, Atoms, and Molecules By I. B. Khriplovich and S. K. Lamoreaux Quantum Groups and Their Representations By A. Klimyk and K. Schmiidgen Inverse SchrOdinger Scattering in Three Dimensions By R. G. Newton Scattering Theory of Waves and Particles 2nd edition By R. G. Newton Quantum Entropy and Its Use By M. Ohya and D. Petz Generalized Coherent States and Their Applications By A. Perelomov Essential Relativity Special, General, and Cosmological Revised 2nd edition By W. Rindler Path Integral Approach to Quantum Physics An Introduction 2nd printing By G. Roepstorff Finite Quantum Electrodynamics The Causal Approach 2nd edition By G. Scharf From Electrostatics to Optics A Concise Electrodynamics Course By G. Scharf The Mechanics and Thermodynamics of Continuous Media By M. Silhavy Large Scale Dynamics of Interacting Particles By H. Spohn The Theory of Quark and Gluon Interactions 2nd completely revised and enlarged edition By F. J. Yndurrun Relativistic Quantum Mechanics and Introduction to Field Theory By F. J. Yndurrun

Anatoli Klimyk Konrad Schmiidgen

Quantum Groups and Their Representations

,

Springer

Professor Dr. Anatoli Klimyk

Professor Dr. Konrad Schmiidgen

Ukrainian Academy of Sciences Institute for Theoretical Physics Kiev 252143, Ukraine

Universitat Leipzig Fakultat fUr Mathematik und Informatik 0-04109 Leipzig, Germany

Editors Roger Balian

Nicolai Reshetikhin

CEA Department of Mathematics Service de Physique TMorique de Saclay University of California F-9119l Gif-sur-Yvette, France Berkeley, CA 94720-3840, USA

Wolf Beiglbock

Herbert Spohn

Insti