TECHNICAL UNIV OF CLAUSTHAL GERMANY (EN) — LIE THEORY AND ITS APPLICATIONS IN PHYSICS – PROCEEDINGS OF AN INTERNATIONAL WORKSHOP

LIE THEORY AND ITS APPLICATIONS IN PHYSICS – PROCEEDINGS OF AN INTERNATIONAL WORKSHOP краткое содержание

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There is an apparent trend towards geometrization of physical theories. During the last 20 years, the most successful mathematical models for the description and understanding of physical systems have been based on the Lie theory in its widest sense and various generalizations, for example, deformations of it.This proceedings volume reflects part of the development. On the mathematical side, they report on representations of Lie algebras, quantization procedures, non-commutative geometry, quantum groups, etc. Furthermore, possible physical applications of these techniques are discussed (e.g. quantization of classical systems, derivations of evolution equations, discrete and deformed physical systems).This volume complements the book Generalized Symmetries in Physics, published by World Scientific in 1994.Contents: Representation Theory and Quantization MethodsNoncommutative Geometry, Quantum Algebras and Applications to Relativistic and Nonrelativistic SystemsSpecial Applications to Physical Systems and Their Generalized ModelsRepresentation Theory and Quantization MethodsReadership: Mathematicians and physicists.Key Features:It is an invaluable collection that contains surveys of recent developments in the field of mathematical physicsIt covers all important areas of mathematical physicsContributions by the best in the field, for example, Freeman Dyson, Barry Simon, Klaus Hepp, etc.