On Om ร{151} 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 of Gauge Theory -- Algebraic Approach to the Hypercoulomb Problem -- Confrontation of Supersymmetry in Elementary Particles and Nuclear Physics