Group Theoretical Methods in Physics Seventh International Colloquium and Integrative Conference on Group Theory and Mathematical Physics, Held in Austin, Texas, September 11–16, 1978

The group theory and fundamental physics foundation.- The Wigner Medal.- Tribute to Eugene P. Wigner by A. Böhm.- Tribute to Valentine Bargmann by Eugene Wigner.- Solitons.- Semi-classical results in quantum field theory.- Some classical solutions of SU (2) Yang-Mills equations.- Collapsons: New nonlinear excitations.- The excited states of the Prasad-Sommerfield soliton and its SU(3)-generalization.- Geometry for solitons and inverse scattering.- Instantons and embeddings.- A consistent quantization procedure for non-linear problems.- A Lienard-Wiechert type of solution in SU(2).- Application of the boson polynomials of U(n) to physical problems.- Unitary group approach to molecular electronic structure.- Shift operators for the classical groups.- Computer programs for the reduction of Kronecker products and symmetrized Kronecker powers of space group irreducible representations.- A new method for calculating Clebsch-Gordan coefficients.- A biological field theory of evolution.- General Flodmark-Blokker method for irreducible representatives.- Group structure for general lattice systems and surface tension.- Dynamical symmetries of the time-dependent Lewis-Riesenfeld harmonic oscillator.- Induced representations and spontaneous molecular symmetry breaking.- "Phase ordering" and symmetry in Hg3-?AsF6.- On the application of group theory to the renormalization-group method.- Renormalization group theory of structural phase transitions in A-15: Pm3n-Oh 3.- "Structure of the images of the irreducible linear representations of the crystallographic little space groups".- Unitary group formulation of Hartree-Fock theory.- On Symmetries of infinite macrosystems in a standard representation.- Geometry of collective motion.- On labeling the basis in Gln and identifying the racah algebra with SN.- Dynamical groups of parametrized systems: Atomic supermultiplets.- Geometrically formulated gauge dynamics for extended hadrons.- Fundamental length hypothesis in a Gauge theory context.- Superunified theories in superspace.- Relativity principles and fibre bundles.- Dynamical groups for the motion of relativistic composite systems.- Clebsch-Gordon coefficients for the holomorphic discrete series.- Deformation cohomology of the primitive infinite lie algebras.- Interactions in a model of extended particles.- Rigorous results in lattice and continuum Gauge quantum field theories.- A unitary relativistic wave equation exhibiting extended particle structure.- Line space construction of non-self-dual Yang-Mills fields.- An explicit model exhibiting mass and spin mixing.- The ambiguity group for canonical transformations in classical mechanics and its role in their representation in quantum mechanics.- Generating functions for characters of group representations and their applications.- Phase space representations of the Poincaré group & their applications to relativistic particle dynamics.- On subgroups of physical symmetry groups and their invariant "electromagnetic" fields and potentials.- Covariant observables and instruments.- Quantum spin systems, fermi systems and group extensions.- Review of research on presymmetry.- On the four Euclidean conformal group structure of the Sturmian operator.- An SL(2,R) approach to Schrödinger spectral problem with pseudosingular potential.- Ergodic Theory in von Neumann algebras.- SU(2) harmonic analysis as a basis for quantization.- Some new aspects of Cayley-quantum theory.- Application of quasiclassical methods to uniaxial spin systems.- Mathematical remarks to resonances and their Eigenfunctionals in decay-scattering systems, demonstrated by means of Friedrich''s model..- Quatum decay processes and quatum dynamical semigroups.- Unstable quantum states and rigged Hilbert spaces.- Irreversible processes in quantum theory.- Analytic continuation in decay-scattering system.- On the inverse problem of the abstract relativistic scattering theory.- The rigged Hilbert space and decaying states.- Excitation and decay of a multilevel atom.- Dynamical spin spreading of unstable particles in four models.- Sequential decays of open quantum systems.- Quantization via the imprimitivity systems and superselection rules.- A class of soluble one particle models.- Resonances in quantum mechanics over phase space.- Complex mass and field operator for unstable particle.- A canonical description of semigroup law for unstable systems.- Deformation of symplectic structure and quantization.- Presymplectic Hamilton and Lagrange systems, Gauge transformations and the Dirac theory of constraints.- Deformation theory and quantization.- On certain events in geometric quantization.- Kostant-Souriau quantization of Robertson-Walker cosmologies with a scalar field.- Infinite-dimensional Lie groups and quantum dynamical systems.- Geometric quantization of nuclear collective models.- Idea and application of spectrum-generating SU(3) and SU(4).- Baryon semileptonic decays-spectrum generating SU(3) and the Cabibbo Model.- Spectrum-generating SU(3) and local current algebra.- The effect of the choice of wave functions on theoretical predictions for symmetry breaking processes: A view from the DKP formalism.- Algebraic approach to hadrons without seeing quarks.- Gauge invariance with massive Gauge bosons.- Group teoretical interpretation of relativistic hardonis structures.- A simple broken-symmetry treatment of the ground and radially excited state mesons and the ?+? P ? decay.- Self-dual Gauge fields and space-times.- Torsion and quantum gravity.- Surface deformations, their square root and the signature of spacetime.- The role of group theory in the quest for exact solutions of Einstein''s field equations: Some recent developments.- On group covariant physical laws and gravitation.- On the exact solutions of Tomimatsu-Sato family for stationary axial-symmetric gravitational fields.- Remarks to homogeneous solutions of Einstein''s field equations.- Description of particles with internal structure in general relativity.- Symmetries and statistical behavior in fermion systems.- SU3 symmetry and integral kernels for nuclear cluster problems.- Dynamical symmetries in nuclei.- Recent work on collective motion.- The calculation of 6j symbols for compact groups.- Application of group theory to composite nuclear particl interactions.- Contravariant form for infinite-dimensional Lie algebras and superalgebras.- Dual sets in associative algebras and generalized Lie algebras.- Molien function for a symmetric group.- Generalized Lie algebras.- Superconforial group and quark-like fermionic coordinates.- Parafields and supergroup transformations.- Supermanifolds.- Graded G-structures.- Space-time properties of supergravity.- The Gauge group and geometry of supergravity.- Recent developments in superconformal gravity.- Geometrization in superspace and local supersymmetry.- Superfield supergravity.- How to build hadron multiplets from stable particles.- Structure of the multiquark meson states.- Octonionic structures in particle physics.- Multilocal field theory.- Multiquark states.- UN the Eriksenlike form of the Melosh transformation and its group theoretical interpretation.- Working with H.A. Kramers in SU(4).- Dynamical groups and the quarkonium problem.- Weight multiplicities of the exceptional Lie groups.- Conserved currents and symmetries of the S-matrix.- Group theoretical aspects of more-than-four quark models.- Infinite unitary group, quarks, unitary symmetry.