Group Theoretical Methods In Physics: Proceedings Of The Xith International Colloquium Held At Bogazii University, Istanbul, Tur,Used

Noncompact 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 Axisymmetric EinsteinsMaxwell fields. The symmetric space property and the embedding problem for stationary Axisymmetric EinsteinMaxwell fields. Selfdual YangMills as a totally integrable system. Constrained Hamiltonian systems. Backlund problem,differential algebra and group theory. Are atomic HartreeFock equations linearizable?. Oscillatorlike unitary representations of noncompact groups and supergroups and extended supergravity theories. Gravity, supergravities and integrable systems. Free graded differential superalgebras. Relativistic wave equations from supergroup quantization. Generalized KerrSchild transformation. Adding a ?term to ppwave solutions of the Einstein field equations. Aspects of a spin(1,4) gauge theory with KaluzaKlein 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 ClebschGordan 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 infinitecomponent 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 InfeldHull factorization method. Dynamical semigroups for resonances in rigged Hilbert spaces. Extrema of Landau and Higgs polynomials and zeros of renormalizationgroup 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