Group Theoretical Methods in Physics [electronic resource] : Sixth International Colloquium Tübingen 1977 / edited by P. Kramer, A. Rieckers.

A guide to Lie superalgebras -- Supergravity in the physics of particles and fields -- Harmonic analysis on graded (or super) Lie groups -- The diagram lattice as structural principle in mathematics -- Kinematical symmetries in molecular quantum mechanics -- Symmetry of non-rigid molecules -- Some recent results on the metaplectic representation -- The nuclear collective model and the symplectic group -- Geometry of real and complex canonical transformations in quantum mechanics -- Composite particles and symplectic (SEMI-) groups -- Group theory of the Landau — Thermodynamic theory of continuous phase transitions in crystals -- Phase transitions, approach to equilibrium, and structural stability -- Topological classification of symmetry defects in ordered media -- Dynamical origin of symmetry -- Action of control semi groups on manifold and application to realization theory -- Some applications of the theory of semigroups to automata -- Position space renormalization group -- Static solitons in more than one dimension -- Remarks on the energy representation of Sobolev-Lie groups -- Unbounded representations of the Poincare and gauge groups in the indefinite metric quantization of the electromagnetic field -- On the construction of graded Lie algebras -- Exceptional parafermions in a Hilbert space over an associative algebra -- The SU(4) nuclear symmetry revisited -- The spinning electron -- Group theoretical expansions of scattering amplitudes for particles with spin -- On the extension of vector fields and the superluminal transformations -- A group theoretical derivation of the minimal coupling in elementary quantum mechanics -- Towards a constructive approach to supersymmetric ? -- The maximal Abelian subgroups of the conformal group of space-time -- The exceptional groups as candidates for supersymmetry -- Quark bag excitations, SL(3,R) spectrum generating group and vector states in e+e? annihilation -- Completeness of networks of states -- PUA representations of Shubnikov space groups and selection rules -- Computer programs for determining Wave Vector Selection Rules (WVSRs) for space groups -- Results of computer programs for determining the reductions of the Kronecker products of the irreducible representations of space groups -- Compatibility relations for factor systems and space group representations -- Bravais lattices associated with incommensurate crystal phases -- Ligand polarizations and lanthanide ion spectra -- Basic exchange integrals and the triple double coset symbol -- Group contractions and infrared effect in theories with spontaneous breakdown of symmetry -- Instantons in lattice models with discrete symmetries -- Spontaneous breakdown of symmetry and the generalized coherent states -- Molien function and calculation of invariant polynomials for space groups -- Gauge fields and quantum liquids -- A new model of a structural phase transition -- Application of Morse theory to the symmetry breaking in the Landau theory of second order phase transition -- Spontaneous breakdown of the gauge symmetry and observable phase operator -- Semigroups and effective structures of automata -- Studies of some physically-relevant representation groups -- Effective decompositions of automata -- On invariants and canonical forms for linear dynamical systems -- Mean ergodic semigroups of contractions in W*-algebras -- About some series associated to complex semi-simple Lie algebras -- Gelfand Lattice polynomials and finite irreducible representations of GL(n,¢). -- Partitions of integers and Lie algebras -- Lie elements, the killing form and trace identities -- Branching rule SO(7)?G2 -- Simplified Racah's eingenval formula for the second order Casimir operator -- A note on the series expansions for the Racah coefficient -- Construction of O(3) shift operators and their use in classification of Lie algebras -- Wave functions of identical particles -- The metaplectic semigroup and the implementation of complex linear canonical transformations in quantum mechanics -- Weyl quantization and metaplectic representation -- On quantummechanical symmetry groups -- Non-bijective canonical transformations and their representations in quantum mechanics -- Kinematical symmetries of the nonlinear diffusion equations -- Lie pseudogroups and the structure of physical laws -- Equivalence of Kadison and Wigner symmetries in traditional quantum mechanics -- The coherent states associated with a compact semi-simple Lie group -- Theory of symmetry of infinite systems -- Group theoretic approach to similarity analysis with applications to the problems of wave propagation -- Generalized number operator in the Fock representation -- Quantization and deformation theroy.