Group Theoretical Methods in Physics: Proceedings of the XVI International Colloquium Held at Varna, Bullgaria, June 15–20, 1987

Horospheres and Twistors....Pages 1-10
Spectrally ordered Lie algebras....Pages 11-16
Algebraic expressions for classes of generalized 6- j and 9- j symbols for certain Lie groups....Pages 17-34
Harmonic analysis on coset spaces....Pages 35-42
The mapping class group: Homology and linearity....Pages 43-51
Invariantly ordered spectral lie algebras as abstract dynamical systems....Pages 52-56
Realizations of representations of Kac-Moody groups and bilinear equations for τ-functions....Pages 57-64
Recent developments in non linear representations and evolution equations....Pages 65-73
New constructions for representations of semisimple lie groups....Pages 74-88
Nonrelativistic supersymmetry....Pages 89-96
Superfield algebraic structures with Grassmann-valued structure constants....Pages 97-103
The non-uniqueness of supertrace....Pages 104-108
Cohomological methods in supermanifold theory....Pages 109-115
Superalgebras of symmetries in superquantum mechanics....Pages 116-125
Supersymmetric quantum mechanics and critical potentials....Pages 126-141
Constrained lagrangians in N = 2-superspace formulations for the constant magnetic field system....Pages 142-148
On some graded algebras....Pages 149-153
Self-consistency and supersymmetry in a many fermion system....Pages 154-160
Essentially irreducible representations of the lie superalgebras sl (n/1) and sl (n/2)....Pages 161-168
Octonions without octonions....Pages 169-175
Soliton solutions and bilinear residue formula for the super Kadomtsev-Petviashvili hierarchy....Pages 176-184
Indices for plethysms of representations of Lie superalgebras....Pages 185-189
Constructions of Lie (super)algebras from triple systems....Pages 190-197
Coherent states and quantization on homogeneous spaces....Pages 199-207
Relativistic spectrum generating groups: Spectrum and radiative transitions in a collective model for hadrons....Pages 208-222
Heisenberg equations of motion for, the Coulomb problem and so(4.2)....Pages 223-229
Degenerate representations from quantum kinematical constraints....Pages 230-237
Application of non-bijective transformations to various potentials....Pages 238-244
Nonuniqueness of the variational formulation of classical equations of motion and quantization rules....Pages 245-249
About Quadratic Transformations Connected To Hurwitz Transformations....Pages 250-252
Geometric quantization of Riemann ellipsoids....Pages 253-260
Group-theoretic approach to scattering: The Dirac-Coulomb problem and relativistic supersymmetry....Pages 261-267
On a quantum mechanical d\'Alembert principle....Pages 268-274
Geometric quantization of the Kepler problem with a magnetic charge....Pages 275-281
Lie algebra of a derivative nonlinear Schrödinger equation....Pages 282-288
Symmetry and classification of energy bands in crystals....Pages 289-308
Dynamical su(8) for phase-coexistence: Thermodynamics of an so(4) × so(4) submodel....Pages 309-314
Chain adaptation of space group representations and induced space group Clebsch-Gordan matrices....Pages 315-321
Perturbation of bisemigroups and transport theory....Pages 322-325
Space group representations induced by local site symmetries....Pages 326-333
Quasicrystals: A distanced overview....Pages 334-343
The time inversion symmetry in case of time translation existing....Pages 344-346
Ergodic properties of hard rod systems....Pages 347-351
Reducible space groups....Pages 352-356
Colour space groups of all cubic chromomorphic classes and their application....Pages 357-362
Auxiliary group approach for group-subgroup related transformation matrices....Pages 363-369
A new approach to non-periodic order in solids....Pages 370-376
Group theoretical analysis of the lattice distorsion in anisotropic Superconductivity....Pages 377-382
The topological theory of semidefects....Pages 383-398
Symmetries in nuclei....Pages 399-407
Boson representation of Sp (24, R ) and classification of even-even nuclei....Pages 408-413
Group Theory of the Symplectic Nuclear Model....Pages 414-422
The nuclear collective WSp(6,R) model....Pages 423-428
Extension of the interacting boson model: Higher order interactions preserving the dynamical symmetry (The 0(6) limit)....Pages 429-433
Classical Yang-Mills fields with non-compact invariance....Pages 435-444
Cartan connections in conformal gauge theories....Pages 445-455
The anomaly-flux-index identity and its Euclidean extension....Pages 456-469
Quantization of anomalous gauge theories: The chiral Schwinger model....Pages 470-476
QED as a theory of quantized connection forms....Pages 477-484
Group-theoretical aspects of dimensional reduction....Pages 485-497
 Sp (2)-symmetric realization of the ghost spectrum in gauge theories....Pages 498-503
The symmetry group of the Euclidean CP n model as the invariance group of two bilinear formst....Pages 505-512
On nets of local algebras on the Minkowski lattice Z 4 ....Pages 513-514
Complex scalar fields in SO(2,1)-Invariant backgrounds: Representation of the symmetries in the schrödinger picture....Pages 515-522
Conformally invariant wave equations on 3+2 de sitter space....Pages 523-529
Massless particles in de sitter space....Pages 530-536
Covariant lagrangian formulation of interacting heterotic strings....Pages 537-543
A generalization of the fourier transform and applications to quantum field theory....Pages 544-547
Harmonic representatives of instantons and self-dual monopoles....Pages 548-554
Homogeneous space construction of Modular Invariant QFT models with a chiral U (1) current....Pages 555-568
Some solutions of the U(N) sigma models....Pages 569-574
Fermions and Jordan matrices....Pages 575-586
Algebraic and arithmetic geometry in string theory....Pages 587-599