Introduction to Quantum Groups

Introduction to Quantum Groups

eBook - 1996
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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 and power of the quantum deformation methods and non-commutative geometry is illustrated on the different examples starting from the simplest quantum mechanical system - harmonic oscillator and ending with actual problems of modern field theory, such as the attempts to construct lattice-like regularization consistent with space-time Poincarâe symmetry and to incorporate Higgs fields in the general geometrical frame of gauge theories. Graduate students and researchers studying the problems of quantum field theory, particle physics and mathematical aspects of quantum symmetries will find the book of interest.
Publisher: Singapore ; River Edge, N.J. : World Scientific, Ă1996
ISBN: 9789814261067
9814261068
9789810226237
9810226233
Characteristics: 1 online resource (xi, 343 pages) : illustrations
Additional Contributors: Demichev, A. P. (Andrei Pavlovich)
Alternative Title: Quantum groups

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