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In the past decade there has been an extemely rapid growth in the interest and development of quantum group theory.This book provides students and researchers with a practical introduction to the principal ideas of quantum groups theory and its applications to quantum mechanical and modern field theory problems. It begins with a review of, and introduction to, the mathematical aspects of quantum deformation of classical groups, Lie algebras and related objects (algebras of functions on spaces, differential and integral calculi). In the subsequent chapters the richness of mathematical structure

Quantum groups --- Groupes quantiques --- Quantum groups. --- Enveloping algebras, Quantized --- Function algebras, Quantized --- Groups, Quantum --- Quantized enveloping algebras --- Quantized function algebras --- Quantum algebras --- Group theory --- Mathematical physics --- Quantum field theory

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Conformal invariants --- Mathematical physics --- Quantum groups --- Yang-Baxter equation --- #KVIV:BB --- 530.19 --- 51-7 --- Baxter-Yang equation --- Factorization equation --- Star-triangle relation --- Triangle equation --- Quantum field theory --- Enveloping algebras, Quantized --- Function algebras, Quantized --- Groups, Quantum --- Quantized enveloping algebras --- Quantized function algebras --- Quantum algebras --- Group theory --- Physical mathematics --- Physics --- Conformal invariance --- Invariants, Conformal --- Conformal mapping --- Functions of complex variables --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathematics --- Conformal invariants. --- Mathematical physics. --- Quantum groups. --- Yang-Baxter equation. --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc