Non-compact groups and irreducible representations -- Duality theorems in conformal geometry -- Covariant differential operators -- Generalized young tableaux and weight multiplicity for classical Lie groups -- G(2) ? SU(2) x SU(2) shift operators and scalars -- Generalised young tableaux for Lie algebras and superalgebras -- The DeSitter symmetry of the Dirac equation -- Casimir operators for inhomogeneous classical groups -- Construction and unitary representations of the non - compact groups of supergravity -- A new look at group orthogonality relations -- Lie supergroups and graded Lie groups -- The invariants of the nondegenerate representations of the group of the pseudo — orthogonal matrices SO(P,1) -- Topological and algebraic structure of linear problems associated with completely integrable systems -- Infinite dimensional symmetry algebras in integrable systems -- Scattering and transfer in some group theoretical potentials -- Reduction of supersymmetric ?-models on graded manifolds -- Two dimensional ?-models and harmonic maps from S2 to S2n -- Completely integrable Hamiltonian systems and the separation of variables -- Conformally invariant pure spinor models -- “Exact solvability in chiral and gauge theories” -- An inverse scattering transform technique for stationary Axi-symmetric Einsteins-Maxwell fields -- The symmetric space property and the embedding problem for stationary Axi-symmetric Einstein-Maxwell fields -- Self-dual Yang-Mills as a totally integrable system -- Constrained Hamiltonian systems -- Backlund problem,differential algebra and group theory -- Are atomic Hartree-Fock equations linearizable? -- Oscillator-like unitary representations of non-compact groups and supergroups and extended supergravity theories -- Gravity, supergravities and integrable systems -- Free graded differential superalgebras -- Relativistic wave equations from supergroup quantization -- Generalized Kerr-Schild transformation -- Adding a ?-term to pp-wave solutions of the Einstein field equations -- Aspects of a spin(1,4) gauge theory with Kaluza-Klein symmetry -- Composite gravity and composite supergravity -- Labelling of irreducible representations of super Lie algebras -- Tensorial properties of incommensurate crystals -- Bifurcations and symmetry changes in crystals -- The structure of space — Groups'unitary representations -- Band structure of almost periodic potentials -- Space group representations for crystal structure types -- Selection rules for polymers -- Automorphism symmetries of space group selection rules -- Invariant formulation for the zeros of covariant vector fields -- Associated corepresentations and symmetry of Clebsch-Gordan coefficients -- Generalized and symmetrized Clebsch Gordan coefficients for antiunitary groups -- Generalized coupling coefficients for space groups -- Active representations of space groups based on the cubic lattice -- Reduced large N models -- Derivation of infinite-component wave equations from field theory -- Maximal symmetries on potentials and gauge invariance -- Ghosts, Anomalies and the geometry of gauge fields -- Colour algebras and generalized statistics -- The branching rule of Weyl and the quantum number b(?1, ?2, ?3) -- On a new regularization method for Feynman diagrams -- Explicit realization of E8 -- Dynamical symmetry breaking in SU(2) × U(1) in weak coupling limit -- Dynamical unification of fermions and gauge bosons for internal symmetry and gravity -- Q =I3 + 12Y. WHY? -- Examples of group contraction -- Symmetry breaking in the spectrum generating group and its experimental tests -- Construction of the dynamical symmetry group of the relativistic harmonic oscillator by the Infeld-Hull factorization method -- Dynamical semigroups for resonances in rigged Hilbert spaces -- Extrema of Landau and Higgs polynomials and zeros of renormalization-group equations -- Group contraction and macroscopic quantum systems -- The Interacting Boson Model and its connection with group theory -- Boson mappings in nuclear physics. A brief and prejudiced survey -- Does accidental degeneracy imply a symmetry group? -- “A hidden symmetry incollective excitations of many-body systems” -- The U(6) symmetry in the microscopic collective model -- SO(2n+1) in an [SU(2)]n basis: Symmetric representations -- A formalism for the microscopic interacting boson model with non-degenerate orbits -- SU(3) in an 0(3) basis: Eigenvalue spectrum of the Q l 0 AND O l 0 operators -- SU(4) in an SO(4) basis : Shift operator technique -- The algebraic geometry of multimonopoles -- Dimensional reduction, spinor fielks and characteristic classes -- Graded bundles in the Ogievetsky-Sokatchev supergravity -- Analysis and comparison of different ways of identification of spin functions variables -- A generalized imprimitivity theorem for a class of POV — measures -- Inversions in twistor space -- Physical group theory and Euclidean space -- Some aspects of random walks on groups -- Ising model on finitely presented groups -- Self-triality in statistical mechanics and field theory -- Symmetries of finite hard rod systems -- Influences of lattice dimension d and character of spin-interactions on the thermodynamics of Ising models -- Gauge invariance in the strong coupling BCS-model -- On the algebraic properties of the Luttinger model -- Dynamical groups and coexistence phenomena.