Group Theoretical Methods in Physics: Proceedings of the XVIII International Colloquium Held at Moscow, USSR, 4–9 June 1990

Introductory talk....Pages 3-4
Creating “clouds”....Pages 5-15
Opening remarks....Pages 19-19
Laudatio for Professor Francesco Iachello....Pages 20-21
Symmetry....Pages 22-31
Dynamical and fundamental symmetries in particles and nuclei....Pages 35-62
Spectrum generating groups — idea and application....Pages 63-84
The role of dynamic symmetries and supersymmetries in nuclear physics....Pages 85-97
SO(3,2) for oscillator and hydrogenlike systems....Pages 98-105
Conformal groups in the Kepler problem....Pages 106-110
Potential group in optics: The maxwell fish-eye system....Pages 111-119
Transition to chaos in hadronic systems....Pages 120-123
The dynamical group of Riemann ellipsoids....Pages 124-127
An algebraic model of cluster states in odd-mass nuclei....Pages 128-131
Compact to noncompact transition and nuclear collective levels....Pages 132-135
 $$\\overline {SL(3,R)} \\times T^6$$ as a nuclear collective motion group....Pages 136-139
Exceptional groups and the interacting boson approximation....Pages 140-143
An overview of quantum groups....Pages 147-163
Integrable theories, Yang-Baxter algebras and quantum groups: An overview....Pages 164-176
Finite - dimensional irreducible representations of the quantum superalgebra Uq[gl(n/I)]....Pages 177-182
Projection operator method and Q-analog of angular momentum theory....Pages 183-194
Quantum algebras and symmetries of dynamical systems....Pages 195-198
Coulomb gas realization of simple quantum groups....Pages 199-203
String theory, quantum gravity and quantum groups....Pages 204-207
 q -Oscillator realizations of the quantum superalgebras sl q (m, n) and osp q (m, 2n) ....Pages 208-214
Relativistic oscillator = q -oscillator....Pages 215-220
Some aspects of the angular momentum coefficients in SU q (2)....Pages 221-224
Contractions and analytic continuations of the irreducible representations of the quantum algebra su q (2)....Pages 225-228
Universal R-matrix for quantum supergroups....Pages 229-232
Recent progress in non-commutative geometry....Pages 233-240
Algebraic gauge theory and noncommutative geometry....Pages 241-248
Classification of the symmetries of ordinary differential equations....Pages 251-262
Conditional symmetries and conditional integrability for nonlinear systems....Pages 263-271
Cohomology and symmetry of differential equations....Pages 272-276
Derivations of semi-basic forms and symmetries of second-order equations....Pages 277-280
Hamilton-Jacobi equations in SU (2, 2) homogeneous spaces....Pages 281-284
Linearization of PDEs....Pages 285-288
Perturbed nonlinear equations: Application to the Korteweg-Devries equation considered as a perturbed Euler equation....Pages 289-293
Algebraic version of the soliton perturbation theory....Pages 294-298
Extended chiral conformal models with a quantum group symmetry....Pages 299-313
Conformal reduction of WZNW theories and W-algebras....Pages 314-327
The resurrection of a forgotten symmetry: De broglie\' s symmetry....Pages 331-338
Relativistic invariance of a many body system with a Dirac oscillator interaction....Pages 339-345
Derivation of the geometrical berry phase....Pages 346-350
Gauge translations and the Berry phase....Pages 351-355
Geometric quantization: Regular representations and modular algebras....Pages 356-364
Geometro-stochastic quantization and quantum geometry....Pages 365-372
SO(4,1)-Coherent states and the geometro-stochastic quantization of a gauge theory for extended objects....Pages 373-378
Covariant quantum mechanics and the symmetries of its radiation fields....Pages 379-382
Double stratonovich - Hubbard trick and novel path integral for a system of interacting fermions....Pages 383-393
Nonrelativistic limit of superfield theories....Pages 394-398
Remarks on the supersymmetric WKB quantization formula....Pages 399-403
Particle in a self-dual monopole field: example of supersymmetric quantum mechanics....Pages 404-409
Supersymmetry and electron angular momentum....Pages 410-413
Parasupersymmetries and Lie superalgebras....Pages 414-417
Quantum chaos: Spectra and states....Pages 418-433
Quantum ergodicity and eigenvalue problems for plane polygons....Pages 434-437
“Classical” in terms of general statistical models....Pages 438-441
Temporal decoherence in Lorentz-squeezed hadrons....Pages 442-449
Physical significance of correlated and squeezed states....Pages 450-456
On the symmetry and dynamics of squeezed and correlated states....Pages 457-460
Correlated States of Quantum Chain....Pages 461-468
Interaction of weak coherent light with a system of two - level atoms in a lossless cavity....Pages 469-474
Time dependent quantum tunnelling....Pages 475-482
Non-spurious harmonic oscillator states with arbitrary permutational symmetry....Pages 483-486
Symmetry analysis of the qualitative intramolecular phenomena....Pages 487-489
Algebras of the SU(n) vector invariants and some of their applications....Pages 493-504
Product formulas for Q-representatives....Pages 505-507
Tensor products for affine Kac-Moody algebras....Pages 508-511
Atypical modules of the lie superalgebra gl (m/n) ....Pages 512-515
Vector coherent state theory of the non-compact orthosymplectic superalgebras....Pages 516-521
The composition factors of kac modules of sl(M/N) ....Pages 522-526
Clifford algebras, spinors and finite geometries....Pages 527-530
Reducibility of Euclidean motion groups....Pages 531-534
Software packages: Space groups and their representations....Pages 535-538
Software packages: Transformation coefficients for space groups....Pages 539-542
Icosahedral dissectable tilings from the root lattice D 6 ....Pages 543-547
Groups with G-number parameters....Pages 548-555
Regge Calculus with torsion....Pages 556-560
Quasiperiodicity: Local and global aspects....Pages 561-572
Derivative Moufang transformations....Pages 573-574
On the explicit form of consistent anomalies....Pages 575-580
Berry phases and Wyckoff positions for energy bands in solids....Pages 581-587
Crystallography of quasicrystals: The problem of restoration of broken symmetry....Pages 588-601