El. knyga: Symmetries in Science VI: From the Rotation Group to Quantum Algebras

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.