Modern Group Theoretical Methods in Physics

The Problem of Invariants for Lie-Bäcklund Groups.- Galilean Coherent States and Wavelets.- On the Use of Quantum Algebras in Rotation-Vibration Spectroscopy.- Invariant Differential Calculus on a Deformation of the Weyl-Heisenberg Algebra.- Noncompact Topological Quantum Groups.- Symmetric Symplectic Manifolds and Deformation Quantization.- The Conformal Invariance of the Klein-Gordon Equation in 1+1 Dimension.- Compact Topological Quantum Groups.- Groupes de Transformations des Variétés Statistiques.- Non-Frustrated Signed Graphs.- De l’Ubiquité de la Condition KMS.- A Model for QCD in Three Dimensions.- Poisson Path Integral Representation of Green Functions for Certain Field Theories.- Diffeomorphism Group Representations and Nonlinear Quantum Theories.- Conditional Symmetries for 1st order Systems of PDES in the Context of the Clairin Method.- Quasistationary Approximation and Gauge Invariance in Classical Electrodynamics.- Graded Poisson Brackets and Field Theory.- The Basic Lemma in the Theory of Formal Groups.- Spectra and Generalized Eigenfunctions of the One- and Two-Mode Squeezing Operators in Quantum Optics.- A Higgs-free Model for Fundamental Interactions.- Coupled Hodgkin Huxley Neurons with Stochastic Synaptic Inputs.- Initial Data for Non-Linear Evolution Equations and Differentiable Vectors of Group Representations.- Star Products: Their Ubiquity and Unicity.- Finite Braid Groups for the SU(2) Knizhnik Zamolodchikov Equation.- Continuous Symmetries of Differential-Difference Equations.- Processus Limites et Irréversibilité en Mécanique Statistique hors d’Equilibre.- Allocution de Clôture.