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 fields. Among the contributors are H Fritzsch, W Greiner, V Kac, J Louck, G Marmo, R Moody, P Olver, L O'Raifeartaigh and P Van Moerbeke.

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 fields. Among the contributors are H Fritzsch, W Greiner, V Kac, J Louck, G Marmo, R Moody, P Olver, L O'Raifeartaigh and P Van Moerbeke.