Symmetries in Science V: Algebraic Systems, Their Representations, Realizations, and Physical Applications

Dynamical Symmetries of Relativistic Two — and Many Body Systems.- Algebraic Treatment of Multistep Processes in Electron-Molecule Scattering.- Symmetry, Constitutive Laws of Bounded Smoothly Deformable Media and Neumann Problems.- Imitation of Symmetries in Local Quantum Field Theory.- Representations of Quantum Groups.- Algebras and Symmetries — Quantum Mechanical Symmetry Breaking.- q-Analysis and Quantum Groups.- Orthogonal Polynomials and Coherent States.- Algebraic Model for Molecular Electronic Spectra.- Highest Weight Unitary Modules for Non-Compact Groups and Applications to Physical Problems.- Scattering Theory and the Group Representation Matrix.- Predicting “Anyons”: The Origins of Fractional Statistics in Two-Dimensional Space.- The Role of Parabose-Statistics in Making Abstract Quantum Theory Concrete.- On Quantized Verma Modules.- The Role of Spectrum Generating Algebras and Dynamic Symmetries in Molecular Physics.- O(4) Symmetry and Angular Momentum Theory in Four Dimensions.- Representations of the Quantum Algebras Uq(su(2)) and Uq(su(1, 1)).- From “Quantum Groups” to “Quasi-Quantum Groups”.- Symmetries of Icosahedral Quasicrystals.- Molecular Symmetry Adapted Bases in the Born-Oppenheimer Approximation.- On Certain Submodules of the Enveloping Fields.- Invariants and States Generating Symmetry of Nonstationary Systems.- Origins of Nuclear and Hadron Symmetries.- Projection Operator Method and Q-Analog of Angular Momentum Theory.- Symmetry Breaking and Fractional Quantization of Quantum Systems.- New Phases of D ? 2 Current and Diffeomorphism Algebras in Particle Physics.- Algebra and Geometry in the Theory of Mixed States.- Group Structures and the Interacting Boson Approximation for Nuclei.- Paradigms of Quantum Algebras.