In the last decade the geometrisation of physics has become more and more important. Group-theoretical methods and related topological, differential geometric and algebraic aspects have been increasingly used for the modelling and description of physical systems, their understanding and their measurable properties. This volume gives an overview of, and a state-of-the-art report on, the different facets of geometrical modelling, from quasi-crystals to new formulations of quantum mechanics. It contains more than 170 contributions from scientists working in physics, in mathematics and in other...

This volume contains material submitted to a symposium on mathematical physics in July 1993 at the Technical University of Clausthal. It focuses on mathematical and physical notions of symmetries, especially on generalized and quantum symmetries (quantum groups and algebras) with applications to integrable systems, quasi-exact solvability, quantization methods and nonlinear problems. The workshop is a continuation of the series of meetings and workshops on mathematical physics in Clausthal which brings together mathematicians, theoretical and mathematical physicists working in the different...