Group Theoretical Methods in Physics [electronic resource] : Fourth International Colloquium, Nijmegen 1975 / edited by A. Janner, T. Janssen, M. Boon.

Magnetic monopoles and non-abelian gauge groups -- Present status of supersymmetry -- Monopole theories with strings and their applications to meson states -- Quarks and the Poincare group SU(6) x SU(3) as a classification group for baryons -- Wave equations for extended hadrons -- Covariance principle and covariance group in presence of external E.M. Fields -- Dynamical SU(3) model for strong interactions and ? particles -- Local and global equivalence of projective representations -- Invariant e'quations on the fibre bundles -- Gauge groups in local field theory and superselection rules -- The algebraic method in representation theory -- Geometric quantization and graded Lie algebras -- Construction explicite de l'indice de Maslov. Applications -- Twistor theory and geometric quantization -- Quantisation as deformation theory, -- Relativistic canonical systems: A geometric approach to their space-time structure and symmetries -- Propagators in quantum mechanics on multiply connected spaces -- On the quantisation of the Kepler manifold -- On wave functions in geometric quantization -- Dynamical prequantization, spectrum-generating algebras and the classical Kepler and harmonic oscillator problems -- Weyl quantisation on a sphere -- Conformal group, quantization, and the Kepler problem -- Exceptional groups and elementary particles -- A propos des brisures spontanés de symétrie -- Geometry of generalized coherent states -- Coherent states for boson systems in quantum field theory and statistical mechanics -- Coherent states and Pippard networks -- The algebraic approach to nuclear structure problems -- Lie Groups and the Jahn-Teller Effect for a Color Center -- Symmetries and statistics in nuclear physics -- Group theory in polymer physics -- Group theoretical approach to bloch electrons in antiferromagnets -- U (5) ? O (5 )? o (3) and the exact solution for the problem of quadrupole vibrations of the nucleus -- Wave vector selection rules for space groups -- A chemist looks at the structure of symmetry groups -- Cacnonical transformations and gaussian integral kernels in nuclear physics -- Crystals as dynamical systems : A new class of models -- Non linear canonical transformations and their representations in quantum mechanics -- Invariance groups of young operators; pauling numbers -- Applications of Group Theory to Nuclear Reactions : A Critical Survey -- The canonical resolution of the multiplicity problem for U(3): An explicit and complete constructive solution -- On space-time groups -- Frame's conjugating representation and group extensions -- Symmetries of differential equations in mathematical physics -- On the determination of factor systems of PUA — representations -- Complex extension of the representation of the symplectic group associated with the canonical commutation relations -- Continuous unitary projective representations of Polish groups: The BMS-group -- The Hilbert space L2(SU(2)) as a representation space for the group (SU(2) × SU(2)) ? S2 -- Induction from a normal nilpotent subgroup -- Spinor representations -- Weight multiplicities for the classical groups -- Casimir operators of subalgebras of the Poincare Lie algebra and of real Lie algebras of low dimension -- The maximal solvable subalgebras of the real classical lie algebras. II -- Physics and deformation theory of finite and infinite Lie algebras -- Wigner 3j-symbols and the Lorentz group -- Description of symmetries in indefinite metric spaces -- Partial diagonalization of Bethe-Salpeter type equations -- Group structure for classical lattice systems of arbitrary spin -- Equivalent Lagrangians and quasicanonical transformations -- Group theory of massless Boson fields -- Some considerations about Nelson's derivation of Schroedinger equation -- The “Galilean” components of a position operator for the photon -- Group theoretic aspects of Gibbs space -- Approximate symmetry -- Cohomology of the action differential forms -- Correlation inequalities in a class of lattice systems in statistical mechanics -- What is so “special” about “relativity”?.