Symmetries in Science VIII

On Om × GIn Highest Weight Vectors.- Invariant Theory of Matrices.- Symmetries of Elementary Particles Revisited.- Perturbative SU(1,1).- A Dual Structure for the Quantal Rotation Group, SU(2).- Some Points in the Quantization of Relativistic Grassmann Dependent Interaction Systems.- q-Difference Intertwining Operators for Uq(sl(4)) and q-Conformal Invariant Equations.- A Quantum Mechanical Evolution Equation for Mixed States from Symmetry and Kinematics.- Quantum Mechanical Motions over the Group Manifolds and Related Potentials.- Quantum Violation of Weak Equivalence Principal in the Brans-Dicke Theory.- Quantum Unitary and Pseudounitary Groups and Generalized Hadron Mass Relations.- Linear Coxeter Groups.- Diffeomorphism Groups, Quasi-Invariant Measures, and Infinite Quantum Systems.- Algebraic Shells and the Interacting Boson Model of the Nucleus.- Recent Developments in the Application of Vector Coherent States.- Algebraic Theory of the Three-Body Problem.- Quantum Effect of Nonlinear Born-Infeld Field.- Some Aspects of q-and qp-Boson Calculus.- Quarks and Partons as Two Different Manifestations of One Covariant Entity.- Spectra and Eigenfunctions of Representation Operators for Quantum Groups and q-Oscillators.- Geometry of Automorphisms for Free Groups.- Quantum Central Limit Theorems.- Non-Euclidean Cristallography.- Different Bases of ?-Deformed Poincare Algebra.- q-Nonlinearity, Deformations and Planck Distribution.- Hidden Symmetries, Symmetry Breaking and Emergence of Complexity.- Meyer Sets and the Finite Generation of Quasicrystals.- A Topological Study of Induced Representations.- Hamiltonian Structure of Multicomponent KdV Equations.- Irreducible Representations of Fundamental Algebra for Quantum Mechanics on SD and Gauge Structures.- The Birth ofGauge Theory.- Algebraic Approach to the Hypercoulomb Problem.- Confrontation of Supersymmetry in Elementary Particles and Nuclear Physics.