Symmetries in Science VI

Deformable Media with Microstructure.- Biorthogonal and Orthogonal Bases in the Missing Label Problem.- Lie Ideals and Symmetric Bi-Derivations of Prime Rings.- From Q-Oscillators to Quantum Groups.- An Analog of the Fourier Transformation for a q-Harmonic Oscillator.- Geometry, Group Theory and Partitions.- Origin of Spin: From Rotation Group to Noncommutative Zitterbewegung.- Massless Representations of the Poincaré Group and Conformai Invariance.- q-Deformed Oscillators in Nuclear and Molecular Physics.- Induced Representations and the Frobenius Theorem for Finite Quantum Groups.- Non-Abelian Surprises for Gauge Fields Coupled to Gravity.- Colored Supersymmetry of Mesons and Baryons based on Octonionic Algebras.- Quantum Algebras and Lie Groups.- q-Fock Space Representations of the q-Lorentz Algebra and Irreducible Tensors.- Construction of Quantum Groups and the Yang-Baxter Equation with Spectral Parameter.- Supersymmetry and the Nonlocal Yangian Deformation Symmetry.- Quantum Algebras: Representations and Real Forms.- Lagrangians from Equations: a Skyrmion Case Study.- Probability, Representations, and Coordinates on Lie Groups.- A Quantum Algebraic Interpretation of the Basic Hypergeometric Series r?s.- Generalized Lie Algebras.- Geometrization of Mechanics.- The Fractional Quantum Hall Effect and the Rotation Group.- Universal Regularities in Multiparticle Production.- On the Octonionic Nahm Equations and Self-Dual Membranes in 9 Dimensions.- Vector Coherent State Constructions of U(3) Canonical Shift Tensors of Biedenharn-Louck Type.- New Applications of the Biedenharn-Temple Operator.- On the Group Theory of the Polarization States of a Gauge Field.- Representation Theory of Finite Groups.- Fate of Classical Symmetry in Field Theory.- Quark Rotation Groupsfor the Atomic f Shell.- Z3-Grading and Ternary Algebraic Structures.- Infinite Dimensional Representations of Quantum Algebras.- Free Groups, their Automorphism Groups, Applications.- Upper Bound on the Top Quark Mass for Supersymmetric SU(5) Model.- Representations of Classical Groups on the Lattice and its Application to the Field Theory on Discrete Space-Time.- From the Rotation Group to the Poincaré Group.- D=4 Quantum Poincaré-Heisenberg Algebra.- ?-Deformed Poincaré Algebra and some Physical Consequences.- Geometrical Phase, Generalized Quasienergy and Floquet Operator as Invariants.- Algebraic Structure of Observables in Nonequilibrium Thermodynamics and their Biological Significance.- The Dirac Oscillator and a Baryon Mass Formula.- Universal SU(2/1) and the Higgs and Fermion Masses.- Novel Implications of the q-Analogue Coherent States.- Covariant Quantum Algebras.- Q-Deformation of Para-Fermi Commutation Relations.- Yang-Baxter Equation and the Triple Product Systems.- Spin-Statistics and Topology.- Unitary Group Approach to Valence Bond and Coupled Cluster Methods.- Is There Any Relation between N Pairs of Deformed Q-Bosons and Uq[OSP(1/2N)]?.- q-Bosons and Irreducible Tensors for q-Algebras.- Noncommutative Dynamics.- The Biedenharn-Louck Tensor Calculus from a Vector Coherent State Perspective.- QCD Originated Dynamical (Super) Symmetry for Hadrons.- The Two-Dimensional Symplectic and Metaplectic Groups and their Universal Cover.- Some Aspects of q-Boson Calculus.- Quantum Group Analogues of Squeezed States.- The Pauli Principle and Systems Consisting of Composite Particles.- Quantum Galilei Group as a Symmetry of the Heisenberg Linear Magnetic Chain.- Aspects of Lie Algebra Quantization.- Parallel Lifts and Holonomy along Density Operators:Computable Examples using O(3)-Orbits.- Covariant Form of Center of Energy.- Yet Another Form of the Relation Between Quantum and Classical Physics.