Symmetries in Science IX

Classical vs. Quantum Groups as Symmetries of Quantized Systems.- Algebraic Model of an Oblate Top.- The Mass-Squared Operator and the Einstein-Hilbert Action for Rescaled Lorentz Metrics.- Multichannel Dynamic Symmetry.- Kazhdan-Lusztig Polynomials, Subsingular Vectors and Conditionally Invariant (q-Deformed) Equations.- On a Path to Nonlinear Quantum Mechanics.- Quantum Mechanical Problems with q-Deformations and over the p-Adic Number Fields.- A Symmetry Adapted Algebraic Approach to Molecular Spectroscopy.- Dyson Boson-Fermion Realization of Lie (Super)Algebras.- Formal Languages for Quasicrystals.- On Quadratic and Nonquadratic Forms: Application to R2m ? R2m-n Nonbijective Transformations.- Quantization of Systems with Constraints.- Automorphisms and Discrete Fiber Bundles.- Algebraic Approach to Baryon Structure.- Discrete Reflection Groups and Induced Representations of Poincaré Group on the Lattice.- Quantum Mechanics and Classical Probability Theory.- Supermultiplet Formulation of the Dirac Oscillator of Arbitrary Spin.- Construction of Schrödinger- and q-Schrödinger Invariant Differential Operators.- Automorphisms of Free Groups and Universal Coxeter Groups.- Generalized Quantum Mechanics and Nonlinear Gauge Transformations.- A Solution of an Extended Hartree-Bogoliubov Equation on the Coset Space SO(2N+2)/U(N+1) for Unified Description of Bose and Fermi Type Collective Excitations.- Quantum Space-Time Groups and Beyond.- Quantum Mechanics on the Torus, Klein Bottle and Projective Sphere.- Application of the Supersymmetric Model to Exotic Oxygen Nuclei.- q-Quantum Mechanics on S1.- List of Participants.- Contributors.