Group Theoretical Methods in Physics

Horospheres and Twistors.- Spectrally ordered Lie algebras.- Algebraic expressions for classes of generalized 6-j and 9-j symbols for certain Lie groups.- Harmonic analysis on coset spaces.- The mapping class group: Homology and linearity.- Invariantly ordered spectral lie algebras as abstract dynamical systems.- Realizations of representations of Kac-Moody groups and bilinear equations for ?-functions.- Recent developments in non linear representations and evolution equations.- New constructions for representations of semisimple lie groups.- Nonrelativistic supersymmetry.- Superfield algebraic structures with Grassmann-valued structure constants.- The non-uniqueness of supertrace.- Cohomological methods in supermanifold theory.- Superalgebras of symmetries in superquantum mechanics.- Supersymmetric quantum mechanics and critical potentials.- Constrained lagrangians in N = 2-superspace formulations for the constant magnetic field system.- On some graded algebras.- Self-consistency and supersymmetry in a many fermion system.- Essentially irreducible representations of the lie superalgebras sl(n/1) and sl(n/2).- Octonions without octonions.- Soliton solutions and bilinear residue formula for the super Kadomtsev-Petviashvili hierarchy.- Indices for plethysms of representations of Lie superalgebras.- Constructions of Lie (super)algebras from triple systems.- Coherent states and quantization on homogeneous spaces.- Relativistic spectrum generating groups: Spectrum and radiative transitions in a collective model for hadrons.- Heisenberg equations of motion for, the Coulomb problem and so(4.2).- Degenerate representations from quantum kinematical constraints.- Application of non-bijective transformations to various potentials.- Nonuniqueness of the variational formulation of classical equations of motion and quantization rules.- About Quadratic Transformations Connected To Hurwitz Transformations.- Geometric quantization of Riemann ellipsoids.- Group-theoretic approach to scattering: The Dirac-Coulomb problem and relativistic supersymmetry.- On a quantum mechanical d'Alembert principle.- Geometric quantization of the Kepler problem with a magnetic charge.- Lie algebra of a derivative nonlinear Schrödinger equation.- Symmetry and classification of energy bands in crystals.- Dynamical su(8) for phase-coexistence: Thermodynamics of an so(4) × so(4) submodel.- Chain adaptation of space group representations and induced space group Clebsch-Gordan matrices.- Perturbation of bisemigroups and transport theory.- Space group representations induced by local site symmetries.- Quasicrystals: A distanced overview.- The time inversion symmetry in case of time translation existing.- Ergodic properties of hard rod systems.- Reducible space groups.- Colour space groups of all cubic chromomorphic classes and their application.- Auxiliary group approach for group-subgroup related transformation matrices.- A new approach to non-periodic order in solids.- Group theoretical analysis of the lattice distorsion in anisotropic Superconductivity.- The topological theory of semidefects.- Symmetries in nuclei.- Boson representation of Sp(24, R) and classification of even-even nuclei.- Group Theory of the Symplectic Nuclear Model.- The nuclear collective WSp(6,R) model.- Extension of the interacting boson model: Higher order interactions preserving the dynamical symmetry (The 0(6) limit).- Classical Yang-Mills fields with non-compact invariance.- Cartan connections in conformal gauge theories.- The anomaly-flux-index identity and its Euclidean extension.- Quantization of anomalous gauge theories: The chiral Schwinger model.- QED as a theory of quantized connection forms.- Group-theoretical aspects of dimensional reduction.- Sp(2)-symmetric realization of the ghost spectrum in gauge theories.- The symmetry group of the Euclidean CPn model as the invariance group of two bilinear formst.- On nets of local algebras on the Minkowski lattice Z4.- Complex scalar fields in SO(2,1)-Invariant backgrounds: Representation of the symmetries in the schrödinger picture.- Conformally invariant wave equations on 3+2 de sitter space.- Massless particles in de sitter space.- Covariant lagrangian formulation of interacting heterotic strings.- A generalization of the fourier transform and applications to quantum field theory.- Harmonic representatives of instantons and self-dual monopoles.- Homogeneous space construction of Modular Invariant QFT models with a chiral U(1) current.- Some solutions of the U(N) sigma models.- Fermions and Jordan matrices.- Algebraic and arithmetic geometry in string theory.