Table of Contents

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 integrablesystems.- 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(λ1, λ2, λ3).- 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.